Question

Solve the following inequality. Click Here for help Video



2
x
−
6

≤
7
2x−6 ≤7



x
x

Answer 1

To solve the inequality \( 2x - 6 \leq 7 \), follow these steps:

1. **Add 6 to both sides** to isolate the term with \( x \):
\[
2x - 6 + 6 \leq 7 + 6
\]
This simplifies to:
\[
2x \leq 13
\]

2. **Divide both sides by 2** to solve for \( x \):
\[
\frac{2x}{2} \leq \frac{13}{2}
\]
This gives:
\[
x \leq \frac{13}{2}
\]

3. **Convert \(\frac{13}{2}\)** to a decimal or mixed number if needed:
\[
\frac{13}{2} = 6.5
\]

So, the solution to the inequality \( 2x - 6 \leq 7 \) is:
\[
x \leq 6.5
\]

This means that \( x \) can be any number less than or equal to 6.5.