Question

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

Answer 1

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}$

Step-by-step explanation:

$2x-5\le \:-x+12$

$2x\le \:-x+17$

$2x+x\le \:-x+17+x$

$3x\le \:17$

$\frac{3x}{3}\le \frac{17}{3}$

$x\le \frac{17}{3}$