A. X < or = to 5

B. X > 5

C. X > 32 1/2

D. X < 32 1/2

### 2 Answers

The answer to the question is A. What you do, is first get rid of the fraction by multiplying everything by 5. You should then have

100-4x>=80. Now subtract 100 from each side. Then what your going to want to do is divide each side by -4. Don’t forget that when you divide by a negative number and there is greater than or less than sign, the sign automatically changes the opposite way.

20-4/5 x>=16

5(20-4/5 x)>=(16)5

100-4x>=80

-4x>=-20

x<=5

A.

20 – 4/5x >= 16

-4/5x >= -4

4/5x <= 4

4x <= 20

x <= 5

Therefore answer is A.