Chapter 4.7, Problem 62E

  $-4(-3)+16<36$

To determine

To solve the inequality & graphing it $-4y+16<36$

Answer to Problem 62E

  $y>-5$

Explanation of Solution

Given information:

Inequality $-4y+16<36$

Calculation:

Subtract 16 from both sides-

  $-4y+16-16<36-16$

This gives,

  $-4y<20$

Divide both sides by -4. As dividing with a negative number, the inequality sign is reversed.

  $=\frac{-4}{-4}y>\frac{20}{-4}$

So,

  $y>-5$

To check the solution, let us take x as -4. Now, put the value -4 in the inequality.

Now , this will give

  $12+16<36$

Hence,

  $28<36$

The graph will be as below-

  

Conclusion-

  $y>-5$