Solve the Linear Inequality: -2x + 9 ≤ 3 Step by Step

To solve the inequality $-2x + 9 \leq 3$, follow these steps:

1. Subtract 9 from both sides:

$-2x + 9 - 9 \leq 3 - 9$

2. This simplifies to:

$-2x \leq -6$

3. Divide each side by -2, remembering to reverse the inequality sign since dividing by a negative number:

$x \geq \frac{-6}{-2}$

4. Simplifying gives:

$x \geq 3$

Thus, the solution is $x \leq 3$.