Question

Solve the following linear inequality: -3 ≤ 2x + 5 /3 < 6


[-7, 13/2)

[-12, 7/2)

[3, 6/5)

Answer 1

$-3\leq\dfrac{2x+5}{3} < 6\ \ \ \ \ |\cdot3\\\\-9\leq2x+5 < 18\ \ \ \ |-5\\\\-14\leq2x < 13\ \ \ \ \ |:2\\\\-7\leq x < \dfrac{13}{2}\to x\in\left[-7,\ \dfrac{13}{2}\right)$