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.
I think she supposed to change the sign because i learnt that the sign should be changed when the x variable is negatice
ok.. mind if I get another opinion?
You can solve it for yourself to figure it out.
yes but I am not sure what the correct answer would be, I am horrible at this stuff.
Well, basically, any time you DO decide to divide an inequality by a negative number, you have to "flip the sign".
so I was right?
You never mentioned to me what you think the answer is.
C is correct.