Answer:
x < 4
Explanation:
We can solve the inequality using the following steps:
Step 1: Distribute 5 to (2x + 1) and -6 to (x + 1):
10x + 5 - 6x - 6 > 11x - 29
Step 2: Combine like terms on the left-hand side:
4x - 1 > 11x - 29
Step 3: Add 1 to both sides:
(4x - 1 > 11x - 29) + 1
4x > 11x - 28
Step 4: Subtract 11x from both sides:
(4x > 11x - 28) - 11x
-7x > -28
Step 5: Divide both sides by -7 to solve for x:
(-7x > -28) / -7
x < 4
Thus, x < 4 is the solution to the inequality.