Question

How do you graph... y≥2x-3

Answer 1

A solid line between (0,-3) and (1, -2) with shaded area on right side.

Explanation:

We graph two variable inequalities like we graph line equations. First, read the inequality as
`y\geq mx+b` where m is the slope and b is the y-intercept. Here b= -3. Go to the y-axis and mark a point on -3. From here, go up 2 and over 1. Mark the point at (1, -2). Since the inequality has an "equal to" draw a solid line between the points with arrows on either end. To finish, test an (x,y) point to determine what makes the inequality true.

Choose any (x,y) point not on the line. Say (0,0).

`0\geq 2(0)-3\\0\geq -3\\False`

Is the statement true? No. It is false. This means DO NOT shade this side. Shade the other.