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Chapter 3: Q. 16 (page 151)

Solve the inequality. Graph your solution.

11-4z<-1

Short Answer

Expert verified

Solution of the inequality is z>3.

Step by step solution

01

Step 1. Solve the inequality

11-4z<-1

Subtract 11 from both the sides.

11鈭�4z鈭�11<鈭�1鈭�11鈭�4z<鈭�12

Divide both sides by 6.

z>鈭�12鈭�4z>3

02

Step 2. Graph the inequality

The solution of the inequality is z>3.

That means, all values z>3 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, z>3and substitute in the original inequality and observe the result.

Take z=4.

Then,

11鈭�4脳4<鈭�111鈭�16<鈭�1鈭�5<鈭�1

The result -5<-1is true. So, the solution z>3 is correct.

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