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5(2x+1)-6(x+1)>11x-29

1 Answer

6 votes

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.

User Terriann
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