Question

What is the graph of linear inequality 2y>x-2

Answer 1

Answer:

Please refer to the attached graph for the graph of linear inequality:

$2y>x-2$

Step-by-step explanation:

Method to draw graph of inequality:

1. First of all replace the inequality sign with equality.

Now the equation is:

$2y=x-2$

Now, find point and plot them.

Let us put x = 0, we get y = -1. So one point is (0, -1)

Let us put y = 0, we get x = 2. So one point is (2,0)

Now, plot both the point and join with straight line on xy coordinate axis.

2. Now, try to find a random point and put in the inequality.

If the point satisfies the inequality shade the region moving from the line towards that point.

For example:

Taking a point (4, 2)

Putting in the inequality:

$8 > 2-2 \\8>0$

So, (4, 2) satisfies the inequality.

Now, shade the region moving from the line towards the point (4,2).

We get the shaded region as shown in the attached figure in the answer area.