## EmmaH 2 years ago Which inequality has the following solution? : x/4≥16 4x>16 -5x>20 -8x≤-32 pl explain i am really confused please show me steps :(

1. EmmaH

2. poopsiedoodle

First off, it's D. Divide both sides by -8, and switch the sign, and you get x≥4

3. EmmaH

divid eboth sides of what?

4. poopsiedoodle

the inequality

5. EmmaH

how did you find the equation to start out nwith?

6. poopsiedoodle

I went through each of the answers to find out which one fits the graph. A black circle means it's going to be a greater than/less than sign with a line under it, so B and C were out. Then I eliminated the coefficients on the X variable for A and D by multiplying A by 4 and dividing D by -8, and A was x≥64 and D was x≥4

7. elisichi

EmmaH, this is really easy :) So, by looking at the graph you know that x has to equal four or more. so: \[x \ge 4\] So it is obviously not the first 3. The answer is \[-8x \le -32 = x \ge 4\] So, the last option. Remember dividing by a negative changes the inequation sign.

8. EmmaH

oooh that makes sense:)