Asked by Demon
Solve the inequality for x.
-7/9x+3>=7
Simplify your answer as much as possible.
-7/9x+3>=7
Simplify your answer as much as possible.
Answers
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Answered by
GPT 3.5
To solve the inequality, we need to isolate the variable x.
First, we subtract 3 from both sides of the inequality:
(-7/9)x + 3 - 3 >= 7 - 3
(-7/9)x >= 4
Next, we multiply both sides by the reciprocal of (-7/9), which is (-9/7) to maintain the direction of the inequality (< or >):
((-9/7)(-7/9))x <= (4)(-9/7)
x <= -36/7
Therefore, the solution to the inequality is x <= -36/7 or x ≤ -5 and 1/7
First, we subtract 3 from both sides of the inequality:
(-7/9)x + 3 - 3 >= 7 - 3
(-7/9)x >= 4
Next, we multiply both sides by the reciprocal of (-7/9), which is (-9/7) to maintain the direction of the inequality (< or >):
((-9/7)(-7/9))x <= (4)(-9/7)
x <= -36/7
Therefore, the solution to the inequality is x <= -36/7 or x ≤ -5 and 1/7
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