Answer
If the inequality symbol were ≥, the solution would be all real numbers because the inequality would simplify to −6≥−6, which is always true.
Work Step by Step
Solve the inequality.
−2(3−x)>2x−6 ⟶ multiply using the distributive property
−6+2x>2x−6 ⟶ subtract 2x from both sides
−6+2x−2x>2x−6−2x ⟶ combine like terms
−6>−6
Since the above is not true, the inequality has no solution.