Chapter 4.7, Problem 63E

To determine

To solve the inequality & graphing it $2-5x>27$

Answer to Problem 63E

  $x<-5$

Explanation of Solution

Given information:

Inequality $2-5x>27$

Calculation:

First subtract 2 from both sides-

  $2-5x-2>27-2$

This gives,

  $-5x>25$

Divide both sides by -5. As dividing with a negative number, the inequality sign is reversed.

  $=\frac{-5}{-5}x<\frac{25}{-5}$

So,

  $x<-5$

To check the solution, let’s take x as -7. Now, put the value -7 in the inequality.

  $2-5(-7)>27$

Now , this will give -

  $2+35>27$

Hence,

  $37>27$

The graph will be as below-

  

Conclusion-

  $x<-5$