Question

On a piece of paper, graph y-3>2x+2. Then determine which answer choice matches the graph you drew

Answer 1

Option C

Step-by-step explanation

The given inequality is

`y - 3 \: > \: 2x + 2`

We add 3 to both sides to get,

`y \: > \: 2x + 2 + 3`

`y \: > \: 2x +5`

The corresponding linear equation is

`y = 2x + 5`

This becomes the dashed boundary line of the inequality.

We test the origin to determine which half plane to shade.

`0\: > \: 2(0)+5`

`0\: > \: 5`

This is false.

Hence we shade the upper half plane.

The correct answer is C