Question

How do you graph the inequality `y - 3>2(x+1)`?

Answer 1

Refer to the explanation.

Explanation:

`y-3>2(x+1)`

Solve for `y`.

Distribute the `2` on the right side.

`y-3>2x+2`

Add `3` to both sides.

`y>2x+5`

The slope is `2` and the y-intercept is `5`.

Determine two points on the line. Plot the points and draw a straight dashed line through the points to indicate that the line is not part of the inequality. Then shade in the area above the line.

`x=-5/2,` `y=0`

`x=0,` `y=5`

graph{y>2x+5 [-10.48, 9.52, -1.78, 8.22]}