Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Thank you in advance.

Immaguest Mar 19, 2021

#1**+2 **

similar to simplifying equations, we can add and subtract things to both sides in inequalities.

so for this inequality, let's start by adding x to both sides.

\(2x + x - 5 \le 12\)

now let's add five to both sides.

\(3x \le 12 + 5\)

\(3x \le 17\)

let's divide both sides by 3.

\(x \le \frac{17}{3}\)

so, in interval notation, the answer would be:

\((-∞, \frac{17}{3}]\)

hope this helped! please let me know if you are confused about anything i did :)

idyllic Mar 19, 2021