Question

What is the graph

of the inequality

`12y \leqslant 16x`

Answer 1

`12y\leq16x\qquad|\text{divide both sides by 12}\\\\y\leq(16)/(12)x\\\\y\leq(16:4)/(12:4)x\\\\y\leq(4)/(3)x\\--------------------------\\\\y=(4)/(3)x\\\\for\ x=0\to y=(4)/(3)(0)=0\to(0,\ 0)\\\\for\ x=3\to y=(4)/(3)(3)=4\to(3,\ 4)\\\\\text{we shade below the line}`