Question

Which is the graph of the linear inequalityx2y>-6?

Answer 1

We will graph the inequality in simplified form i.e
`y>-3`

The graph is shown in figure below

Explanation:

Which is the graph of the linear inequality
`2y>-6`

(Note: Considering the inequality is 2y>-6 and x is typing mistake.)

First we will solve the inequality to find value of y

We have inequality:

`2y>-6`

For finding y we have to divide both sides of inequality by 2

`(2y)/(2)>(-6)/(2) \\y>-3`

Now, we will graph the inequality in simplified form i.e
`y>-3`

Inequality can be graphed on number line as well as graph paper.

Graph on number line

Since y is greater than -3, so all values greater than -3 will be included on the number line. An open circle will be drawn on -3, indicating -3 is not included but values greater than -3 are included. The figure A shows the graph

Graph on Graph paper

Since y is greater than -3, so all values greater than -3 will be included on the number line. A dotted line will appear on -3 and the region on right side of -3 (values greater than 3) will be shaded. The figure B shows the graph