do you flip the sign?

Question

-3x+2 ≤ 22

Answer 1

To solve the inequality \(-3x + 2 \leq 22\), you first want to isolate \(x\). Here's how to do it step by step:

1. Subtract 2 from both sides: \[ -3x + 2 - 2 \leq 22 - 2 \] This simplifies to: \[ -3x \leq 20 \]

2. Now, divide both sides by \(-3\). It's important to remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign: \[ x \geq \frac{20}{-3} \] which simplifies to: \[ x \geq -\frac{20}{3} \]

So, the solution to the inequality is: \[ x \geq -\frac{20}{3} \]