Math
posted by B.B. .
Could someone please help me with this math problem?
Solve using the multiplication principle. Give the answer in setbuilder notation.
4/5 less than or equal to 8x.
I want to say that I multiply both sides by 5 but I'm not sure. I'm confused with this problem.
Thanks.

you are trying to solve for x. How does multiplying by 5 do that? Why not start by multiplying by 1/8? You do have one more step.

go with your instinct
4/5 ≤ 8x
times by +5
4 ≤ 8x
"move" the terms
8x ≤ 4
divide by 8
x ≤ 1/2
remember you switch the inequality sign only if you multiply or divide the inequation by a negative, we multiplied by +8, so it stayed the same. 
forgot to multiply the right side by 5
4 ≤ 40x
40x ≤ 4
x ≤ 1/10 
Thanks.