Question

What is the greatest integer that satisfies the inequality 3x - 4(equal to or less than) 8?

Answer 1

The given inequality is

`3x-4\leq8`

Remember that we need to isolate the variable in order to solve the inequality.

First, we sum 4 to each part of the inequality

`3x-4+4\leq8+4\text{ }\rightarrow3x\leq12`

Second, we divide each side by 3

`(3x)/(3)\leq(12)/(3)\rightarrow x\leq4`

This result means that the set of solutions for this inequality is all numbers equal to or less than 4.

Therefore, the greatest integer that satisfies the inequality is 4.