Question

please help solve –2(x – 3) ≥ 5 – (x + 3)

Answer 1

first distribute -2 to (x-3)

Answer 2

tell me what you get

Answer 3

-2x-(-6)?

Answer 4

yes which is -2x + 6

Answer 5

on the right hand side eliminate the parentheses by distributing the negative sign

Answer 6

tell me what you get

Answer 7

-x+(-3)?

Answer 8

5-x-3

Answer 9

which will be 2-x

Answer 10

now \[-2x + 6 \ge 2-x\]

Answer 11

bring all the like terms together

Answer 12

add 2x to the left hand side and right hand side and subtract 2 from both sides.

Answer 13

\[4 \ge x\]

Answer 14

\[x \le 4\]

Answer 15

Thank you!