Marcie solved the following inequality, and her work is shown below:
-2 (x - 5) - 12 ≤ 4 + 6 (x + 3)
-2x + 10 - 12 ≤ 4 + 6x + 18
-2x - 2 ≤ 6x + 22
-8x ≤ 24
x ≤ - 3
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added 2x.
She added 2 to both sides when she should have subtracted 22.
When dividing by - 8, she did not change the ≤ to ≥.
She did not make a mistake.
+3
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Home » Mathematics » Marcie solved the following inequality, and her work is shown below: -2 (x - 5) - 12 ≤ 4 + 6 (x + 3) -2x + 10 - 12 ≤ 4 + 6x + 18 -2x - 2 ≤ 6x + 22 -8x ≤ 24 x ≤ - 3 What mistake did Marcie make in solving the inequality?