identify each statement as true or false. If a number is real, then it is irrational.

Q: if a=4 and b=-1 are the coordinates of two points on the real number line, find d(a,b)

A: Given:If a=4 and b=-1 are the coordinates of two points on the real number line, find d(a,b)

Q: Evaluate each expression,or indicate that the root is not a real number. ∛ 8

A: We first factor 8

Q: The product of two irrational numbers is an irrational number.

A: The given statement is: The product of two irrational numbers is an irrational number.

Q: simplify each numerical expression. 3(5 - 9) - 3(-6)

A: Simplify: 35-9-3-6

Q: solve each inequality and express the solution set using interval notation. 2x - 7 < 6x + 13

A: The given inequality 2x - 7 < 6x + 13

Q: Evaluate each expression, or indicate that the root is not a real number. -√36

A: √36 = ±6 Hence, -√36 = -(±6) = -6, 6

Q: simplify each of the numerical expressions. (4 - 9)2

A: Given expression:  (4 - 9)2

Q: Evaluate expression,or indicate that the root is not a real number. ∜(-2)4

A:

Q: simplify each numerical expression. 2/3 - (3/4 - 5/6)

A: We have to simplify 23-34-56

Q: simplify each of the numerical expressions. 13 + (7 - 2)(5 - 1)

A: To find13+(7-2)(5-1)

Q: simplify each numerical expression. (2/7)-2

A: The given expression is, 27-2 To simplify the given expression, we use the exponential rule as…

Q: Name the properties illustrated by each true statement.  2 + (x + 5) = (2 + x) + 5

A: The given true statement is, 2+x+5=2+x+5

Q: Determine whether each statement is true or false.

A:

Q: Given A = where a and b are nonzero real numbers, find A-1.

A:

Q: Simplify Each Expression. Assume that all variables represent positive real numbers  31/2 . 33/2

A:

Q: Choose the letter of the correct answer. If x is a real number such that|x 1, then x^n 0 as n - a.…

A:

Q: Give the reciprocal of each number.   x

A: The given variable is x.

Q: to each equa

A: i) 30+a = 40 a = 40 -30 a = 10   ii) 500+b = 200 b = 200 - 500 b = -300

Q: simplify each numerical expression, expressing answers in reduced form. 3/4 x 6/9 - 5/6 x 8/10 + 2/3…

A: The given expression is 34×69-56×810+23×68

Q: Answer by 'yes' or 'no' each of the following 8 question. x and  y are real numbers

A: Answer and explanation is given below..

Q: Decide whether the given equation is an identity, a conditonal equation, or a contradiction.…

A: Decide whether the given equation is an identity, a conditonal equation, or a contradiction.…

Q: Express each of the numbers as the quotient of two Integers. (a) 0.45 45/100 (b) 0.153 153/1000

A: We have to express the numbers 0.45¯ and 0.153¯ as the quotient of two integers.

Q: solve each problem and write the answer in standard form. 5-0.2=_______tenth(s)…

A: 5-0.2=?

Q: Complete each statement. If 4x=5y, then y and

A: simplification

Q: on: setting each factor equal to zero. Then solve

A:

Q: solve each inequality and express the solution set using interval notation. (3x + 7) > 10 or (4x…

A: Given: To solve inequality and express the solution set using interval notationAlso given (3x + 7)…

Q: 40.

A:

Q: Solve each inequality, graph the solution, and express it interval notation.2x +8 > 5x − 7 and 5x…

A:

Q: simplify each numerical expression, expressing answers in reduced form. 2/3 + 1/2 x 2/5 - 1/3 x 1/5

A: We have to simplify the numerical expression: 23+12×25-13×15 Rewriting the numerical expression,…

Q: Solve. In the space provided, type the answer without any spaces between the letters, numbers, or…

A: Modules equation

Q: Which of the numbers is irrational? V3 O v3 o V4 O 2.3 1//3

A: Given query is tk find irretional number.

Q: Evaluate  expression,or indicate that the root is not a real number.

A: we have to evaluate the given expression or indicate that the root is not a real number.(-3)55

Q: Express each of the numbers as the quotient of two integers. 0.81 0.180

A: Given numbers  0.81 0.180  We have to express as the quotient of two integers that is in rational…

Q: Solve each nonhomogeneou 1. [32]

A:

Q: 9. (15x+2)°

A:

Q: 5x3 +7= 12 X = and x =

A: To solve the given equation

Q: Evaluate each expression, or indicate that the root is not a real number. -√25

A: Given: -25

Q: Which of the numbers is irrational? A) 2.3 B) V3 C) D). 1/3

A: answer is option B.)   explanation is given in below step

Q: solve each inequality and express the solution set using interval notation. -3(3x + 2) - 2(4x + 1) ≥…

A: The given inequality equation is, -33x+2-24x+1≥0 To solve the given inequality, we have to simplify…

Q: solve each inequality and express the solution set using interval notation. -3 ≤ (5x + 7) ≤ 27

A: Inequalities can be solved keeping following rules in mind. A number can be subtracted or added…

Q: simplify each numerical expression, expressing answers in reduced form. 1/4 - 3/8 + 5/12 - 1/24

A: The given numerical expression is, 14-38+512-124 To simplify the given numerical expression, first,…

Q: Match each answer with it's topic by simply typing the number of the answer that corresponds to in…

A:

Q: Simplify each expression. Assume all variables represent nonzero real numbers \text { 23.…

A: The given expression is: 225

Q: In which set is each number a solution of 2 + 2x 6?

A: Given,          2 + 2x ≤ 6

Q: mplete each statement. n is because the solution makes the left side of the original equation equal…

A:

Q: п! = n (п-1)!

A: Factorial expansion n! = n × (n-1)× (n-2)×.........1      = n × (n-1)!

Q: list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d)…

A: (a) Natural numbers are the whole numbers greater than 1. Any element of set D is not a positive…

Q: Solve each inequality and give the solution in interval notation: - 4 – 9|2x + 9| - 5

A: we have to solve the given inequalities using rules of modulus function. The entire solution is…

Q: Express each of the numbers as the quotient of two integers.

A: (a)     0.63 = 63/100

Q: Rewrite each expression without absolute value bars : l√2 - 1l

A: Given: 2-1

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.