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Write an inequality for the given graph

Please help Write an inequality for the given graph-example-1
User Daviewales
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Answer:

y < 1/2x - 3

Explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3 y > 1/2x - 3

0 < 1/2(0) - 3 0 > 1/2(0) - 3

0 < -3 0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

User Fuechter
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