Solve the inequality for x.

5x -362 - 3(5 - 4x)
Simplify your answer as much as possible.

1 answer

5x - 362 - 3(5 - 4x)
= 5x - 362 - 15 + 12x
= 17x - 377

To solve the inequality, we need to state the range of values for x that make the expression 17x - 377 greater than or equal to zero.

17x - 377 ≥ 0
Adding 377 to both sides:
17x ≥ 377
Dividing both sides by 17 (where 17 is positive, so we don't need to flip the inequality sign):
x ≥ 377/17

So, the solution to the inequality is x ≥ 22.176.