Which number(s) below belong to the solution set of the inequality? check all that apply. x/8< 10 a.80 b.96 c.64 d.40 e.32 f.88

Multiply both sides by 8 (to undo the division of 8)

x/8 < 10
8(x/8) < 8*10
x < 80

So any number less than 80 will make the original inequality true. This applies to choices: C, D, E which are the final answers. These values are all less than 80. 



Alternatively we can plug in each value into the inequality to check them

Choice A
x/8 < 10
80/8 < 10
10 < 10
false; choice A is eliminated

Choice B
x/8 < 10
96/8 < 10
12 < 10
false; choice B is eliminated

Choice C
x/8 < 10
64/8 < 10
8 < 10
true; choice C is one of the answers

Choice D
x/8 < 10
40/8 < 10
5 < 10
true; D is another one of the answers

Choice E
x/8 < 10
32/8 < 10
4 < 10
true; choice E is another solution

Choice F
x/8 < 10
88/8 < 10
11 < 10
false; choice F is eliminated



Whichever method you end up using, the final answers are C, D, E