Chapter ISG, Problem 5.3.2P

To determine

To explain the solution set of inequality two

Answer to Problem 5.3.2P

The solution set of inequality $2(2x+4)<4(x+1)$ is,

0<-2 which is not true.

The solution set of other inequality $2(2x+4)\ge 4(x+1)$ is,

  Which is true.

Explanation of Solution

Given information:

Inequality

  

Other inequality

  

Calculation:

For Inequality 1,

  

Using division property

Divide by 2 both sides of inequality

  

On solving.

  

On solving.

  

Using subtraction property

Subtract 4 both sides of inequality

  

On solving.

  

Using subtraction property

Subtract 2x both sides of inequality

  

On solving.

0<-2 _________________(1)

This is not true

Other inequality

  

Using division property

Divide by 2 both sides of inequality

  

On solving.

  

On solving.

  

Using subtraction property

Subtract 4 both sides of inequality

  

On solving.

  

Using subtraction property

Subtract 2x both sides of inequality

  

On solving.

  _________________(2)

This is true

The solution set of inequality $2(2x+4)<4(x+1)$ is 0<-2 which is not true.

The solution set of other inequality $2(2x+4)\ge 4(x+1)$ is which is true.