Chapter SH, Problem 5.15EP

To determine

To solve inequality.

  

Answer to Problem 5.15EP

Solution set: {x|x>0 and

The graph of inequality is given below

  

Interval notation:

Explanation of Solution

Given information:

Inequality

  

Calculation:

Inequality

  

First half is and second half is

Solving first half

  

Using addition property

Adding 5 both sides of inequality

  

On solving.

  

Using division property

Dividing by 3 both sides of inequality

  

On solving.

  

Rewrite

  

Solving second half

  

Open bracket

  

Using addition property

Adding 2 both sides of inequality

  

On solving.

  

Using substraction property

Substracting 2x both sides of inequality

  

On solving.

x>0

Solution set: {x|x>0 and

The graph of inequality is given below

  

Interval notation: