Question

What value of x is in the solution set of 2x – 3 > 11 – 5x?

–3
0
2
4

Answer 1

To solve the inequality \( 2x - 3 > 11 - 5x \), we can start by isolating \( x \).

1. Add \( 5x \) to both sides:
\[
2x + 5x - 3 > 11
\]
which simplifies to:
\[
7x - 3 > 11
\]

2. Next, add \( 3 \) to both sides:
\[
7x > 11 + 3
\]
which simplifies to:
\[
7x > 14
\]

3. Finally, divide both sides by \( 7 \):
\[
x > 2
\]

Now we determine which of the provided options is in the solution set of \( x > 2 \):
- \( -3 \) (not greater than 2)
- \( 0 \) (not greater than 2)
- \( 2 \) (not greater than 2)
- \( 4 \) (greater than 2)

The only value of \( x \) from the list that satisfies \( x > 2 \) is \( 4 \).

Thus, the value of \( x \) in the solution set is \( \boxed{4} \).