# How do you graph the inequality y<2x^2+3x-5?

May 3, 2018

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#### Explanation:

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Given the inequality: color(blue)(y<2^2+3x-5

color(green)("Step 1:"

Make a table of values: color(red)(x and corresponding values for color(red)(y

color(green)("Step 2:"

Replace the inequality sign with color(red)(= sign and graph the quadratic equation.

Use dashed lines for this graph as the inequality sign is: color(red)(<

Construct the graph:

Obviously, all the points in table will lie on the graph as shown in the graph.

color(green)("Step 3:"

In this step, choose a few test points or coordinates NOT on the parabola.

This is the required region that satisfies our original inequality.