Solve -x:3leq-4

$$- x : 3 \leq - 4$$

Solve for x

$$x\geq 12$$

Solution Steps

Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$-x\leq -4\times 3$$

Multiply -4 and 3 to get -12.

$$-x\leq -12$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\geq \frac{-12}{-1}$$

Fraction \frac{-12}{-1} can be simplified to 12 by removing the negative sign from both the numerator and the denominator.

$$x\geq 12$$