Question

Solve the inequality. $$-4 x \geq-12$$

Short answer

The solution to the inequality is \(x \leq 3\).

Step-by-step solution

Divide both sides by -4

To solve for x, divide both sides of the inequality by the coefficient of x which is -4. But remember, dividing by a negative number flips the direction of the inequality sign. So, \(-4x / -4 \leq -12 / -4 \)

Simplify the expression

After dividing, the expression simplifies to \(x \leq 3\)