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

Simplify the inequality.

2x - 3 > 11 - 5x
2x > 14 - 5x <-- Add 3 to both sides
7x > 14 <-- Add 5x to both sides
x > 2 <-- Divide both sides 7

In order to be in the solution, x has to be greater than 2.

In interval notation: (2, ∞)

In set builder notation: {x | x ∈ R, x > 2}