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?

can someone please help

Question

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?

can someone please help

anonymous · Answer

Distribute so you can eliminate the ()
−2x+10−12≤4+6x+18
   combine like terms and simplify

anonymous · Answer

If you multiply or divide by a negative number when solving an inequality, you must reverse the sign. This example the last step did not flip the sign. it should have said
x≥−3

anonymous · Answer

She made a mistake on the last line

anonymous · Answer

so when she divided.

anonymous · Answer

thanks you are awesome! @Tom_Boy_Rebel

anonymous · Answer

No problem! @britany_brittany

anonymous · Answer

When dividing by a negative, you must flip the sign @britany_brittany