## Algebra 1

If the inequality symbol were $\geq$, the solution would be all real numbers because the inequality would simplify to $-6\geq-6$, which is always true.
Solve the inequality. $-2(3-x)\gt 2x-6$ $\longrightarrow$ multiply using the distributive property $-6+2x\gt2x-6$ $\longrightarrow$ subtract 2x from both sides $-6+2x-2x\gt2x-6-2x$ $\longrightarrow$ combine like terms $-6\gt-6$ Since the above is not true, the inequality has no solution.