Question

Solve the inequality –2(x – 3) ≥ 5 – (x + 3) and show your work plz.

Answer 1

lets start with the distributive law
\[-2x+6\geq 5-x-3\]

Answer 2

combine like terms on the right
\[-2x+6\geq 2-x\] add \(2x\) to both sides
\[6\geq 2+x\] subtract 2 from both sides
\[4\geq x\] and done

Answer 3

if you prefer you can write \(x\leq 4\) no difference