+96 Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Thank you in advance.
+152 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 :)
