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Graphing an Inequality

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For inequality, 3x - 2y < 7

a) What is the slope?

b) What is the y-intercept?

c) Is the line dashed or solid?

d) Is the area shaded below or above the line?

e) Which Quadrant(s) is the area shaded: I, II, III, IV?

f) Is (1,-3) the solution to the inequality?

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Solution Summary

The expert graphs inequality slopes and y-intercepts.

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For inequality, 3x - 2y < 7

a) What is the slope?

b) What is the y-intercept?

First, pretend this is an equality and solve for y:

3x -2y = 7
-2y = -3x + 7
y = (3/2)x -7/2

The slope is 3/2 and the y-intercept is -7/2

c) Is the line dashed or solid?

d) Is the area shaded below or above the line? ...

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