Question

–2(x – 3) ≥ 5 – (x + 3) solve and show work

Answer 1

–2(x – 3) ≥ 5 – (x + 3)

distributive property, or get rid of the parenthesis:
-2x + 6 >= 5 - x - 3
combine like terms:
-2x + 6 >= 2 - x
add x to both sides:
-2x + 6 + x > = 2 - x + x
-x + 6 >= 2
subtract 6 from both sides:
-x + 6 - 6 >= 2 - 6
-x >= -4
multiply by -1 and switch the direction of the inequality:
x <= 4