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Find the inequality represented by the graph

Find the inequality represented by the graph-example-1
User SoT
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1 Answer

5 votes

Answer:

y ≥ 1/2x

Explanation:

Given the following inequality, we know that y must be greater than or equal to x because the line is not dashed, and is shaded above the line.

Now to find the equation just pretend that this is just a normal linear equation, and solve for the equation.

So since the y intercept is 0, and there is a rise of 1 for a run of 2 or 1 unit up every two units to the right, the corresponding linear equation is y = 1/2x.

Now since this is an inequality where y is greater than or equal to x.

y = 1/2x → y ≥ 1/2x

User Gnuwings
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