Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 3.4, Problem 27P
To determine

To solve: for the amount of money with each of the given three people.

Expert Solution & Answer
Check Mark

Answer to Problem 27P

The money with Theo is $22

The money with Denise is $17

The money with Rudy is $6

Explanation of Solution

Given Information: There are three people Theo, Denise and Rudy with each of them having some money in such a way that,

(1) The money with Theo is $5 more than Denise and money with Denise is $11 more than Rudy.

(2) The total money with them is $45

The given statements express the relation between the money with the three people.

Let the money with Rudy be x .

1. The first statement gives the money with Denise as (x+11) and that with Theo as 5+(x+11) in terms of the money with Rudy

2. The second statement gives the total amount as

  x+(x+11)+(5+(x+11))=45

Solving the equation gives the money with Rudy as,

  3x+11+16=453x=45−273x=18x=$6

Now, the money with Denise is given by,

  x+11=6+11=$17

And, money with Theo is given by,

  5+(x+11)=5+17=$22

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Chapter 3.4, Problem 26P
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Chapter 3.4, Problem 28P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OECh. 3.1 - Prob. 2OECh. 3.1 - Prob. 3OECh. 3.1 - Prob. 4OECh. 3.1 - Prob. 5OECh. 3.1 - Prob. 6OECh. 3.1 - Prob. 7OECh. 3.1 - Prob. 8OECh. 3.1 - Prob. 9OECh. 3.1 - Prob. 10OE
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Prob. 40WECh. 3.1 - Prob. 41WECh. 3.1 - Prob. 42WECh. 3.1 - Prob. 43WECh. 3.1 - Prob. 44WECh. 3.1 - Prob. 45WECh. 3.1 - Prob. 46WECh. 3.1 - Prob. 47WECh. 3.1 - Prob. 48WECh. 3.1 - Prob. 49WECh. 3.1 - Prob. 50WECh. 3.1 - Prob. 51WECh. 3.1 - Prob. 52WECh. 3.1 - Prob. 53WECh. 3.1 - Prob. 54WECh. 3.1 - Prob. 55WECh. 3.1 - Prob. 56WECh. 3.1 - Prob. 57WECh. 3.1 - Prob. 58WECh. 3.1 - Prob. 59WECh. 3.1 - Prob. 60WECh. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10PCh. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Prob. 18PCh. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 1MRECh. 3.1 - Prob. 2MRECh. 3.1 - Prob. 3MRECh. 3.1 - Prob. 4MRECh. 3.1 - Prob. 5MRECh. 3.1 - Prob. 6MRECh. 3.1 - Prob. 7MRECh. 3.1 - Prob. 8MRECh. 3.1 - Prob. 9MRECh. 3.1 - Prob. 10MRECh. 3.1 - Prob. 11MRECh. 3.1 - Prob. 12MRECh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.2 - Prob. 1OECh. 3.2 - Prob. 2OECh. 3.2 - Prob. 3OECh. 3.2 - Prob. 4OECh. 3.2 - Prob. 5OECh. 3.2 - Prob. 6OECh. 3.2 - Prob. 7OECh. 3.2 - Prob. 8OECh. 3.2 - Prob. 9OECh. 3.2 - Prob. 10OECh. 3.2 - Prob. 11OECh. 3.2 - Prob. 12OECh. 3.2 - Prob. 13OECh. 3.2 - Prob. 14OECh. 3.2 - Prob. 15OECh. 3.2 - Prob. 16OECh. 3.2 - Prob. 17OECh. 3.2 - Prob. 18OECh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 5WECh. 3.2 - Prob. 6WECh. 3.2 - Prob. 7WECh. 3.2 - Prob. 8WECh. 3.2 - Prob. 9WECh. 3.2 - Prob. 10WECh. 3.2 - Prob. 11WECh. 3.2 - Prob. 12WECh. 3.2 - Prob. 13WECh. 3.2 - Prob. 14WECh. 3.2 - Prob. 15WECh. 3.2 - Prob. 16WECh. 3.2 - Prob. 17WECh. 3.2 - Prob. 18WECh. 3.2 - Prob. 19WECh. 3.2 - Prob. 20WECh. 3.2 - Prob. 21WECh. 3.2 - Prob. 22WECh. 3.2 - Prob. 23WECh. 3.2 - Prob. 24WECh. 3.2 - Prob. 25WECh. 3.2 - Prob. 26WECh. 3.2 - Prob. 27WECh. 3.2 - Prob. 28WECh. 3.2 - Prob. 29WECh. 3.2 - 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Prob. 10MRECh. 3.2 - Prob. 11MRECh. 3.2 - Prob. 12MRECh. 3.3 - Prob. 1OECh. 3.3 - Prob. 2OECh. 3.3 - Prob. 3OECh. 3.3 - Prob. 4OECh. 3.3 - Prob. 5OECh. 3.3 - Prob. 6OECh. 3.3 - Prob. 7OECh. 3.3 - Prob. 8OECh. 3.3 - Prob. 9OECh. 3.3 - Prob. 10OECh. 3.3 - Prob. 11OECh. 3.3 - Prob. 12OECh. 3.3 - Prob. 13OECh. 3.3 - Prob. 14OECh. 3.3 - Prob. 15OECh. 3.3 - Prob. 16OECh. 3.3 - Prob. 17OECh. 3.3 - Prob. 18OECh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 3WECh. 3.3 - Prob. 4WECh. 3.3 - Prob. 5WECh. 3.3 - Prob. 6WECh. 3.3 - Prob. 7WECh. 3.3 - Prob. 8WECh. 3.3 - Prob. 9WECh. 3.3 - Prob. 10WECh. 3.3 - Prob. 11WECh. 3.3 - Prob. 12WECh. 3.3 - Prob. 13WECh. 3.3 - Prob. 14WECh. 3.3 - Prob. 15WECh. 3.3 - Prob. 16WECh. 3.3 - Prob. 17WECh. 3.3 - Prob. 18WECh. 3.3 - Prob. 19WECh. 3.3 - Prob. 20WECh. 3.3 - Prob. 21WECh. 3.3 - Prob. 22WECh. 3.3 - Prob. 23WECh. 3.3 - Prob. 24WECh. 3.3 - Prob. 25WECh. 3.3 - Prob. 26WECh. 3.3 - Prob. 27WECh. 3.3 - Prob. 28WECh. 3.3 - Prob. 29WECh. 3.3 - Prob. 30WECh. 3.3 - Prob. 31WECh. 3.3 - Prob. 32WECh. 3.3 - Prob. 33WECh. 3.3 - Prob. 34WECh. 3.3 - Prob. 35WECh. 3.3 - Prob. 36WECh. 3.3 - Prob. 37WECh. 3.3 - Prob. 38WECh. 3.3 - Prob. 39WECh. 3.3 - Prob. 40WECh. 3.3 - Prob. 41WECh. 3.3 - Prob. 42WECh. 3.3 - Prob. 43WECh. 3.3 - Prob. 44WECh. 3.3 - Prob. 45WECh. 3.3 - Prob. 46WECh. 3.3 - Prob. 47WECh. 3.3 - Prob. 48WECh. 3.3 - Prob. 49WECh. 3.3 - Prob. 50WECh. 3.3 - Prob. 51WECh. 3.3 - Prob. 52WECh. 3.3 - Prob. 53WECh. 3.3 - Prob. 54WECh. 3.3 - Prob. 55WECh. 3.3 - Prob. 56WECh. 3.3 - Prob. 57WECh. 3.3 - Prob. 58WECh. 3.3 - Prob. 59WECh. 3.3 - Prob. 60WECh. 3.3 - Prob. 1MRECh. 3.3 - Prob. 2MRECh. 3.3 - Prob. 3MRECh. 3.3 - Prob. 4MRECh. 3.3 - Prob. 5MRECh. 3.3 - Prob. 6MRECh. 3.3 - Prob. 7MRECh. 3.3 - Prob. 8MRECh. 3.3 - Prob. 9MRECh. 3.3 - Prob. 10MRECh. 3.3 - Prob. 11MRECh. 3.3 - Prob. 12MRECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 1MRECh. 3.4 - Prob. 2MRECh. 3.4 - Prob. 3MRECh. 3.4 - Prob. 4MRECh. 3.4 - Prob. 5MRECh. 3.4 - Prob. 6MRECh. 3.4 - Prob. 7MRECh. 3.4 - Prob. 8MRECh. 3.4 - Prob. 9MRECh. 3.4 - Prob. 10MRECh. 3.4 - Prob. 11MRECh. 3.4 - Prob. 12MRECh. 3.5 - Prob. 1OECh. 3.5 - Prob. 2OECh. 3.5 - Prob. 3OECh. 3.5 - Prob. 4OECh. 3.5 - Prob. 5OECh. 3.5 - Prob. 6OECh. 3.5 - Prob. 7OECh. 3.5 - Prob. 8OECh. 3.5 - Prob. 9OECh. 3.5 - Prob. 10OECh. 3.5 - Prob. 11OECh. 3.5 - Prob. 12OECh. 3.5 - Prob. 1WECh. 3.5 - Prob. 2WECh. 3.5 - Prob. 3WECh. 3.5 - Prob. 4WECh. 3.5 - Prob. 5WECh. 3.5 - Prob. 6WECh. 3.5 - Prob. 7WECh. 3.5 - Prob. 8WECh. 3.5 - Prob. 9WECh. 3.5 - Prob. 10WECh. 3.5 - Prob. 11WECh. 3.5 - Prob. 12WECh. 3.5 - Prob. 13WECh. 3.5 - Prob. 14WECh. 3.5 - Prob. 15WECh. 3.5 - Prob. 16WECh. 3.5 - Prob. 17WECh. 3.5 - Prob. 18WECh. 3.5 - Prob. 19WECh. 3.5 - Prob. 20WECh. 3.5 - Prob. 21WECh. 3.5 - Prob. 22WECh. 3.5 - Prob. 23WECh. 3.5 - Prob. 24WECh. 3.5 - Prob. 25WECh. 3.5 - Prob. 26WECh. 3.5 - Prob. 27WECh. 3.5 - Prob. 28WECh. 3.5 - Prob. 29WECh. 3.5 - Prob. 30WECh. 3.5 - Prob. 31WECh. 3.5 - Prob. 32WECh. 3.5 - Prob. 33WECh. 3.5 - Prob. 34WECh. 3.5 - Prob. 35WECh. 3.5 - Prob. 36WECh. 3.5 - Prob. 37WECh. 3.5 - Prob. 38WECh. 3.5 - Prob. 39WECh. 3.5 - Prob. 40WECh. 3.5 - Prob. 41WECh. 3.5 - Prob. 42WECh. 3.5 - Prob. 43WECh. 3.5 - Prob. 44WECh. 3.5 - Prob. 45WECh. 3.5 - Prob. 46WECh. 3.5 - Prob. 47WECh. 3.5 - Prob. 48WECh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 1MRECh. 3.5 - Prob. 2MRECh. 3.5 - Prob. 3MRECh. 3.5 - Prob. 4MRECh. 3.5 - Prob. 5MRECh. 3.5 - Prob. 6MRECh. 3.5 - Prob. 7MRECh. 3.5 - Prob. 8MRECh. 3.5 - Prob. 9MRECh. 3.5 - Prob. 10MRECh. 3.5 - Prob. 11MRECh. 3.5 - Prob. 12MRECh. 3.5 - Prob. 1CECh. 3.5 - Prob. 2CECh. 3.5 - Prob. 3CECh. 3.5 - Prob. 4CECh. 3.5 - Prob. 5CECh. 3.5 - Prob. 6CECh. 3.5 - Prob. 1STCh. 3.5 - Prob. 2STCh. 3.5 - Prob. 3STCh. 3.5 - Prob. 4STCh. 3.6 - Prob. 1OECh. 3.6 - Prob. 2OECh. 3.6 - Prob. 3OECh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.6 - Prob. 10PCh. 3.6 - Prob. 11PCh. 3.6 - Prob. 12PCh. 3.6 - Prob. 13PCh. 3.6 - Prob. 14PCh. 3.6 - Prob. 15PCh. 3.6 - Prob. 16PCh. 3.6 - Prob. 17PCh. 3.6 - Prob. 18PCh. 3.6 - Prob. 19PCh. 3.6 - Prob. 20PCh. 3.6 - Prob. 1MRECh. 3.6 - Prob. 2MRECh. 3.6 - Prob. 3MRECh. 3.6 - Prob. 4MRECh. 3.6 - Prob. 5MRECh. 3.6 - Prob. 6MRECh. 3.6 - Prob. 7MRECh. 3.6 - Prob. 8MRECh. 3.6 - Prob. 9MRECh. 3.6 - Prob. 10MRECh. 3.6 - Prob. 11MRECh. 3.6 - Prob. 12MRECh. 3.7 - Prob. 1OECh. 3.7 - Prob. 2OECh. 3.7 - Prob. 1PCh. 3.7 - Prob. 2PCh. 3.7 - Prob. 3PCh. 3.7 - Prob. 4PCh. 3.7 - Prob. 5PCh. 3.7 - Prob. 6PCh. 3.7 - Prob. 7PCh. 3.7 - Prob. 8PCh. 3.7 - Prob. 9PCh. 3.7 - Prob. 10PCh. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.7 - Prob. 18PCh. 3.7 - Prob. 1MRECh. 3.7 - Prob. 2MRECh. 3.7 - Prob. 3MRECh. 3.7 - Prob. 4MRECh. 3.7 - Prob. 5MRECh. 3.7 - Prob. 6MRECh. 3.7 - Prob. 7MRECh. 3.7 - Prob. 8MRECh. 3.7 - Prob. 9MRECh. 3.7 - Prob. 1CECh. 3.7 - Prob. 2CECh. 3.8 - Prob. 1OECh. 3.8 - Prob. 2OECh. 3.8 - Prob. 3OECh. 3.8 - Prob. 1WECh. 3.8 - Prob. 2WECh. 3.8 - Prob. 3WECh. 3.8 - Prob. 4WECh. 3.8 - Prob. 5WECh. 3.8 - Prob. 6WECh. 3.8 - Prob. 7WECh. 3.8 - Prob. 8WECh. 3.8 - Prob. 9WECh. 3.8 - Prob. 10WECh. 3.8 - Prob. 11WECh. 3.8 - Prob. 1MRECh. 3.8 - Prob. 2MRECh. 3.8 - Prob. 3MRECh. 3.8 - Prob. 4MRECh. 3.8 - Prob. 5MRECh. 3.8 - Prob. 6MRECh. 3.8 - Prob. 7MRECh. 3.8 - Prob. 8MRECh. 3.8 - Prob. 9MRECh. 3.8 - Prob. 10MRECh. 3.8 - Prob. 11MRECh. 3.8 - Prob. 12MRECh. 3.8 - Prob. 1STCh. 3.8 - Prob. 2STCh. 3.8 - Prob. 3STCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 1CLRCh. 3 - Prob. 2CLRCh. 3 - Prob. 3CLRCh. 3 - Prob. 4CLRCh. 3 - Prob. 5CLRCh. 3 - Prob. 6CLRCh. 3 - Prob. 7CLRCh. 3 - Prob. 8CLRCh. 3 - Prob. 9CLRCh. 3 - Prob. 10CLRCh. 3 - Prob. 11CLRCh. 3 - Prob. 12CLRCh. 3 - Prob. 13CLRCh. 3 - Prob. 14CLRCh. 3 - Prob. 15CLRCh. 3 - Prob. 16CLRCh. 3 - Prob. 17CLRCh. 3 - Prob. 18CLRCh. 3 - Prob. 19CLRCh. 3 - Prob. 20CLRCh. 3 - Prob. 21CLRCh. 3 - Prob. 22CLRCh. 3 - Prob. 23CLRCh. 3 - Prob. 24CLRCh. 3 - Prob. 25CLRCh. 3 - Prob. 26CLRCh. 3 - Prob. 27CLRCh. 3 - Prob. 28CLRCh. 3 - Prob. 29CLRCh. 3 - Prob. 30CLRCh. 3 - Prob. 31CLRCh. 3 - Prob. 32CLRCh. 3 - Prob. 33CLRCh. 3 - Prob. 34CLRCh. 3 - Prob. 35CLRCh. 3 - Prob. 36CLRCh. 3 - Prob. 37CLRCh. 3 - Prob. 38CLRCh. 3 - Prob. 39CLRCh. 3 - Prob. 40CLRCh. 3 - Prob. 1MSCh. 3 - Prob. 2MSCh. 3 - Prob. 3MSCh. 3 - Prob. 4MSCh. 3 - Prob. 5MSCh. 3 - Prob. 6MSCh. 3 - Prob. 7MSCh. 3 - Prob. 8MSCh. 3 - Prob. 9MSCh. 3 - Prob. 10MSCh. 3 - Prob. 11MSCh. 3 - Prob. 12MSCh. 3 - Prob. 13MSCh. 3 - Prob. 14MSCh. 3 - Prob. 15MSCh. 3 - Prob. 16MSCh. 3 - Prob. 17MSCh. 3 - Prob. 18MSCh. 3 - Prob. 19MSCh. 3 - Prob. 20MSCh. 3 - Prob. 21MSCh. 3 - Prob. 22MSCh. 3 - Prob. 23MSCh. 3 - Prob. 24MSCh. 3 - Prob. 25MSCh. 3 - Prob. 26MSCh. 3 - Prob. 27MSCh. 3 - Prob. 28MSCh. 3 - Prob. 29MSCh. 3 - Prob. 30MSCh. 3 - Prob. 31MSCh. 3 - Prob. 32MSCh. 3 - Prob. 33MSCh. 3 - Prob. 34MSCh. 3 - Prob. 35MSCh. 3 - Prob. 36MSCh. 3 - Prob. 1MPSCh. 3 - Prob. 2MPSCh. 3 - Prob. 3MPSCh. 3 - Prob. 4MPSCh. 3 - Prob. 5MPSCh. 3 - Prob. 6MPSCh. 3 - Prob. 7MPSCh. 3 - Prob. 8MPSCh. 3 - Prob. 9MPSCh. 3 - Prob. 10MPSCh. 3 - Prob. 11MPSCh. 3 - Prob. 12MPSCh. 3 - Prob. 13MPSCh. 3 - Prob. 14MPSCh. 3 - Prob. 15MPSCh. 3 - Prob. 16MPSCh. 3 - Prob. 17MPS

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