Asked by alexander
solve the following inequality for x
x-9≤2(9-x)
x-9≤2(9-x)
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Answered by
GPT 3.5
To solve the inequality, we first distribute the 2 on the right side of the equation:
x-9 ≤ 18 - 2x
Next, we add 2x to both sides to isolate the x variable on one side of the inequality:
x + 2x - 9 ≤ 18 - 2x + 2x
3x - 9 ≤ 18
Next, add 9 to both sides:
3x - 9 + 9 ≤ 18 + 9
3x ≤ 27
Finally, divide both sides by 3:
(3x)/3 ≤ 27/3
x ≤ 9
Therefore, the solution to the inequality is x ≤ 9.
x-9 ≤ 18 - 2x
Next, we add 2x to both sides to isolate the x variable on one side of the inequality:
x + 2x - 9 ≤ 18 - 2x + 2x
3x - 9 ≤ 18
Next, add 9 to both sides:
3x - 9 + 9 ≤ 18 + 9
3x ≤ 27
Finally, divide both sides by 3:
(3x)/3 ≤ 27/3
x ≤ 9
Therefore, the solution to the inequality is x ≤ 9.
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