Question

NEED HELP AND WILL FAN/MEDAL

Solve for x: 5 − (x + 5) > −2(x + 4) (1 point)

x > −8
x > −18
x < −18
x < −8

Answer 1

x > −8

Answer 2

can you show me the steps please

Answer 3

1. Simplify brackets
5−x−5>−2(x+4)

2. Simplify 5−x−5 to −x
−x>−2(x+4)

3. Expand
−x>−2x−8

4. Add 2x to both sides
−x+2x>−8

5. Simplify −x+2x to x
x>−8

Answer 4

ok thank you

Answer 5

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?

Answer 6

@YK.PAPI can u help?

Answer 7

@Zbratz7 can u help?

Answer 8

sure ill try

Answer 9

ok thanks

Answer 10

wait i think ive got it

Answer 11

Distribute so you can eliminate the ()
\[Distribute so you can eliminate the () -2x+10-12\le4+6x+18\]
combine like terms and simplify

Answer 12

since the last line is a negative you multiply, but she divided

Answer 13

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

Answer 14

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