Question

Solve: –2(x – 3) ≥ 5 – (x + 3)

Answer 1

My answer is
–2(x – 3) ≥ 5 – (x + 3)
-2x – 6 > 5x + 15
- 5x - 5x
-7 – 6 > + 15
+ 6 + 6
-7 > 21
x < -3

Answer 2

on your first step, when you distributed the -2 it would make the 6 positive, not negative.

Answer 3

and on the other side, there is a subtraction sign between so you dont distribute

Answer 4

so what do I do to the other side?

Answer 5

it would look like this

Answer 6

–2(x – 3) ≥ 5 – (x + 3)
-2x+6>=5-x-3
-2x+6 >=2 - x

how will I subtract 6 from x?

Answer 7

now I divide 4 by 2?

Answer 8

i would add the x so it would be
-x-4>=0
then just add 4
-x>=4
and divide by a negative

Answer 9

–2(x – 3) ≥ 5 – (x + 3)
-2x+6>=5-x-3
-2x+6 >=2 - x
-2x+6>=2-x
-2x-4>=-x
-x-4>=0
-x>=4

Answer 10

you got it!

Answer 11

and to check if its right I replace x with 4?
–2(4 – 3) ≥ 5 – (4 + 3)
-8 - 6 > 5 - 7
-2 -2

Answer 12

well, you would have to make sure you divide the -x>=4 by a negative because x needs to be alone so it would be x=<-4, so you would plug back in -4 and/pr a number less than to see if it works!