Which inequality has the following solution? :
x/4≥16
4x16
-5x20
-8x≤-32
pl explain i am really confused please show me steps :(

Question

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 :(

anonymous · Answer

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poopsiedoodle · Answer

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

anonymous · Answer

divid eboth sides of what?

poopsiedoodle · Answer

the inequality

anonymous · Answer

how did you find the equation to start out nwith?

poopsiedoodle · Answer

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

anonymous · Answer

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.

anonymous · Answer

oooh that makes sense:)