Question

Help I need a example for graphing two variable inequalities

Answer 1

To graph, a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equals sign. The graph of this equation is a line.

If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ and ≥ ), graph a solid line.

For example,

Consider the linear inequality in two variables below

`y\leq4x-8`

Step 1:

Put x=0 and find y

`\begin{gathered} y=4x-8 \\ y=4(0)-8 \\ y=0-8 \\ y=-8 \\ (0,-8) \end{gathered}`

Step 2:

Put y=0 and find x

`\begin{gathered} y=4x-8 \\ 0=4x-8 \\ 4x=8 \\ (4x)/(4)=(8)/(4) \\ x=2 \\ (2,0) \end{gathered}`

Hence,

We are going to use the coordinates below to graph the inequality using a solid line because

The inequality sign used is greater than or equal to

`(0,-8),(2,0)`

Hence,

The graph of the inequality will be