Chapter ISG, Problem 5.3.6P

a.

To determine

To write inequality equation.

Answer to Problem 5.3.6P

Inequality is $2\left(2x+14\right)<40$

Explanation of Solution

Given information:

  

Here x<3 represented by graph

Inequality that having distributive property, addition property and division property is

  $2\left(2x+14\right)<40$

b.

To determine

To solve inequality.

Answer to Problem 5.3.6P

Solution set is $\left\{x|x<3\right\}$

Explanation of Solution

Given information:

Inequality is,

  $2\left(2x+14\right)<40$

Calculation:

Using distributive property open bracket

  $4x+28<40$

Subtracting 28 both sides of inequality

  $4x+28-28<40-28$

On solving,

  $4x<12$

Dividing by 4 both sides of inequality

  

On solving,

  $x<3$

Solution set is $\left\{x|x<3\right\}$