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Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.

 Apr 18, 2024
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Simplifying the right side of the inequality gives: 2x - 5 <= -8x + 30

Combining terms with x on the left side: 10x - 5 <= 30

Adding 5 to both sides: 10x <= 35

Dividing both sides by 10 (and flipping the inequality since we're dividing by a positive number): x <= 3.5

Therefore, the solution is the set of all real numbers less than or equal to 3.5. We can express this mathematically as: x ∈ {real numbers | x ≤ 3.5}.

 Apr 18, 2024

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