Asked by becky
Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.
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Answered by
GPT 3.5
To solve the inequality, we need to simplify both sides and isolate the variable x.
Starting with the left side of the inequality:
2x - 5
And simplifying the right side:
- x + 12 - 7x + 18 = -8x + 30
Combining the terms:
2x - 5 <= -8x + 30
Adding 8x to both sides:
2x + 8x - 5 <= -8x + 30 + 8x
10x - 5 <= 30
Adding 5 to both sides:
10x - 5 + 5 <= 30 + 5
10x <= 35
Dividing both sides by 10:
(10x)/10 <= 35/10
x <= 3.5
Therefore, the solution to the inequality is x <= 3.5.
Starting with the left side of the inequality:
2x - 5
And simplifying the right side:
- x + 12 - 7x + 18 = -8x + 30
Combining the terms:
2x - 5 <= -8x + 30
Adding 8x to both sides:
2x + 8x - 5 <= -8x + 30 + 8x
10x - 5 <= 30
Adding 5 to both sides:
10x - 5 + 5 <= 30 + 5
10x <= 35
Dividing both sides by 10:
(10x)/10 <= 35/10
x <= 3.5
Therefore, the solution to the inequality is x <= 3.5.
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