x > 3
Solution:
The given inequality is 2x – 1 > x + 2.
To simplify the inequality 2x – 1 > x + 2.
2x – 1 > x + 2
Subtract x on both sides of the expression.
⇒ 2x – 1 – x > x + 2 – x
⇒ 2x – x – 1 > x – x + 2
⇒ x – 1 > 2
Add 1 on both sides of the expression.
⇒ x – 1 + 1 > 2 + 1
⇒ x > 3
The graph of the solution x > 3 is attached below.
