Question

what value of x is in the solution set of 2x - 3 > 11 - 5x?
-3
0
2
4

Explanation:

Step1: Solve the inequality for x

Start with the inequality \(2x - 3>11 - 5x\). Add \(5x\) to both sides: \(2x + 5x-3>11 - 5x+ 5x\), which simplifies to \(7x-3>11\). Then add 3 to both sides: \(7x-3 + 3>11 + 3\), so \(7x>14\). Divide both sides by 7: \(\frac{7x}{7}>\frac{14}{7}\), which gives \(x > 2\).

Step2: Check the options

Now check which of the given options is greater than 2.

• For \(-3\): \(-3<2\), so not in the solution set.
• For \(0\): \(0<2\), so not in the solution set.
• For \(2\): \(2 = 2\) (not greater than 2), so not in the solution set.
• For \(4\): \(4>2\), so it is in the solution set.

Answer:

4 (from the option: 4)