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What is the linear inequality of the graph shown?​

What is the linear inequality of the graph shown?​-example-1

2 Answers

7 votes

Answer:

Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line

User Gaurav Kalyan
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2.9k points
8 votes

Answer:

y>4x-2

Explanation:

Find the slope, which is 4, from (0,-2) and (1,2).

Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).

We know the equation would be a greater/less than sign because the line is dashed.

To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).

(0)<4(0)-2 (0)>4(0)-2

0<0-2 0>0-2

0<-2 0>-2

The one on the right, 0>-2, is true so the sign is a greater than sign.

User Dave Browning
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3.7k points