Chapter ISG, Problem 5.1.1.3P

To determine

To Evaluate Reasonableness

Answer to Problem 5.1.1.3P

a)

b)

c)

d) $x+7<12$

e)

Explanation of Solution

Given information:

A table showing some inequalities is given.

Calculation:

1. Let the number be x
Seven fewer than the number will be x-7

It is given 12 is more than 7 fewer than a number.

Therefore equation will be:-

  $12>x-7$

2. Let the number be x
Seven less than number will be x-7

It is given that seven less than a number is atleast 12

(Here atleast 12 means that the outcome should be

either 12 or any number above 12).

Therefore equation will be:-

  $x-7\ge 12$

3. Let the number be x
Twelve less than a number will be x-12

It is given twelve less than a number is atmost 7.

(Here atmost 7 means that the outcome should be 7 or any number less than 7).

Therefore equation will be:-

  $7\ge x-12$

4. Let the number be x
Seven more than the number will be x+7

It is given that seven more than a number is less than twelve.

Therefore the equation will be:-

  $x+7<12$

5. Let the number be x
Twelve more than number will be x+12

It is given that twelve more than a number is more than 7

Therefore the equation will be:-

  $x+12>7$