Question

Solve and graph the solution: $- 1^{\frac{2}{3}} \leq x + ^\frac{1}{3} \ \textless \ 4^{\frac{1}{3}} , x W.$

Answer 1

Answer:

Step-by-step explanation:

The given inequality is solved by simplification

$-1\frac{2}{3}\leq\:x+\frac{1}{3} < 4\frac{1}{3}\\\\\frac{-5}{3}\leq\:x+\frac{1}{3} < \frac{13}{3}$

subtract by 1/3

$\frac{-5}{3}-\frac{1}{3}\leq\:x+\frac{1}{3}-\frac{1}{3} < \frac{13}{3}-\frac{1}{3}\\\\\frac{-6}{3}\leq\:x < \frac{12}{3}\\\\-2\leq\:x < 4$

Therefore x∈ [-2, 4)