The inequality expression 4(x + 6) > -5(x + 5) - 14 solved is x > -7
How to evaluate the inequality expression
From the question, we have the following parameters that can be used in our computation:
4(x + 6) > -5(x + 5) - 14
The solutions with the reasons are as follows
Distribute the terms:
4x + 24 > −5x - 25 − 14
Subtract the numbers:
4x+24>−5x−39
Add/subtract to both sides:
4x + 24 − 24 > −5x − 39 − 24
Simplify
4x > −5x − 63
Add/subtract to both sides:
4x + 5x > −5x − 63 + 5x
Simplify:
9x > −63
Divide both sides of the equation by the same factor:
x > -7
Hence, the inequality expression solved is x > -7