Question

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

Explanation:

Step1: Solve the inequality \(2x - 3>11 - 5x\)

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

Step2: Isolate the variable term

Add 3 to both sides: \(7x - 3 + 3>11 + 3\), so \(7x>14\).

Step3: Solve for \(x\)

Divide both sides by 7: \(\frac{7x}{7}>\frac{14}{7}\), which gives \(x > 2\).
Now we check the options:

• For \(x=-3\): \(-3

ot>2\), so not in the solution set.

• For \(x = 0\): \(0

ot>2\), so not in the solution set.

• For \(x = 2\): \(2

ot>2\) (it's equal), so not in the solution set.

• For \(x = 4\): \(4>2\), so it is in the solution set.

Answer:

4 (the option corresponding to \(x = 4\))