Question

Solve the system of inequalities: $-2\le 6x<2$

• A. $-\frac{1}{3}\le x<\frac{1}{3}$
• B. $-\frac{1}{6}\le x<\frac{1}{2}$
• C. $-\frac{1}{2}\le x<\frac{1}{6}$
• D. $-\frac{1}{3}\le x<\frac{1}{2}$

Answer 1

The correct option is A $-\frac{1}{3}\le x<\frac{1}{3}$

Given inequalitiy:

$-2\le 6x<2$

Dividing by $6,$ we get

$-\frac{2}{6}\le x<\frac{2}{6}$

or, $-\frac{1}{3}\le x<\frac{1}{3}$

Hence, A is the correct option.