+0

# Inequality

0
22
1

Solve the inequality 2x - 5 <= -x + 12 - 3x + 19  Give the answer as a interval.

Jul 24, 2022

#1
+578
+1

$$2x-5\le \:-x+12-3x+19$$

$$2x-5\le \:-x-3x+12+19$$

$$2x-5\le \:-4x+12+19$$

$$2x-5\le \:-4x+31$$

$$2x\le \:-4x+36$$

$$6x\le \:36$$

$$x\le \:6$$

Interval notation: $$(-\infty \:,\:6]$$

-Vinculum

Jul 24, 2022