Question

Solve the inequality 6x − 8 > 4x + 26.

a x < 9
b x < 17
c x > 9
d x > 17

Answer 1

To solve the inequality \( 6x - 8 > 4x + 26 \), follow these steps:

1. Subtract \( 4x \) from both sides:

\[
6x - 4x - 8 > 26
\]

This simplifies to:

\[
2x - 8 > 26
\]

2. Next, add 8 to both sides:

\[
2x > 26 + 8
\]

Which simplifies to:

\[
2x > 34
\]

3. Now, divide both sides by 2:

\[
x > \frac{34}{2}
\]

Simplifying gives:

\[
x > 17
\]

Thus, the solution to the inequality is \( x > 17 \).

The correct answer is **d** \( x > 17 \).