do you flip the sign?

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:
\[
x \geq -\frac{20}{3}
\]