Question

Solve for x :
`90 - 2/3x \leq 30`

Answer 1

`90 - \cfrac{2}{3}x\leqslant 30\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 90 - \cfrac{2}{3}x \right)\leqslant 3(30)}\implies 270-2x\leqslant 90 \\\\\\ 270\leqslant 90+2x\implies 180\leqslant 2x\implies \cfrac{180}{2}\leqslant x\implies 90\leqslant x`