Question

1. Graph the inequality 2x – 4y8 on the coordinate plane below.

Answer 1

The given inequality:

`2x-4y\leq8`

First simplify the inequality:

Divide the inequality by 2 we get:

`x-2y\leq4`

First we find the coordinate

Let x = 0 then

`\begin{gathered} 2(0)-4y\leq8 \\ y\leq-2 \end{gathered}`

Coorinate: (0,-2)

At x = -2,

`\begin{gathered} 2(-2)-4y\leq8 \\ -4-4y\leq8 \\ y\leq-3 \end{gathered}`

Coorinate: (-2,-3)

Plot them on the graph: