What is the greatest integer that satisfies the inequality 3x-4≤8 ?
a.4
b.5
c.6
d.7

3x - 4 ≤ 8
3x ≤ 12
x ≤ 4

answer

A.4 

To figure this out, we need to solve for the inequality. A quick way is to plug in an answer choice for x.
For example, answer choice "A.)";
3(4) -4 <_ 8
We plugged in 4 for x.
Let's see if A.) is correct.
3(4) -4 <_ 8
12 - 4 <_ 8
8 <_ 8

This is the GREATEST possible integer, as the question asks for what the highest possible number would match the inequality.

Your correct answer choice is "A.)"

I hope this helps!