Question

Name Run Sohwire intintie Algebra 2 Graphing Linear Inequalities Sketch the praph of euchlinear inecuality. Date 3/3/202) 1 x z-2x - 2 2) y sal 3) * 4) y < x-2

Answer 1

Step-by-step explanation:

To graph the inequality, we first need to graph the line that separates the regions, so we will graph first:

y = x - 2

To graph the line, we need to give values to x and calculate the value of y. So:

If x = 0, then:

y = x - 2

y = 0 - 2

y = -2

If x = 2, then:

y = x - 2

y = 2 - 2

y = 0

Graph

So, we will use the points (0, -2) and (2, 0) to graph the region as:

Now, we can verify that the yellow region is the correct region because a point like (4, 0) that belongs to the region satisfies the inequality.

y < x - 2

0 < 4 - 2

0 < 2