Ask a New Question
Menu

Solve the inequality for x.

−4x + 3 ≤ 15

1 answer

To solve the inequality \(-4x + 3 \leq 15\), follow these steps:

  1. Subtract 3 from both sides: \[ -4x + 3 - 3 \leq 15 - 3 \] Simplifying gives: \[ -4x \leq 12 \]

  2. Now, divide both sides by -4. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x \geq \frac{12}{-4} \] Simplifying gives: \[ x \geq -3 \]

So, the solution to the inequality is: \[ x \geq -3 \]