Solve the following inequality. Click Here for help Video

Question

2
𝑥
−
9

≤
8
2x−9 ≤8

Answer 1

To solve the inequality \(2x - 9 \leq 8\), follow these steps:

1. Add 9 to both sides of the inequality to isolate the term with \(x\):

   \[ 2x - 9 + 9 \leq 8 + 9 \] This simplifies to: \[ 2x \leq 17 \]

2. Divide both sides by 2 to solve for \(x\):

   \[ \frac{2x}{2} \leq \frac{17}{2} \] This simplifies to: \[ x \leq \frac{17}{2} \]

So the solution to the inequality is:

\[ x \leq \frac{17}{2} \]

or in decimal form:

\[ x \leq 8.5 \]