SOLUTION: Please show me how to graph the inequality in a coordinate plane. 24. x+y is greater than or equal to -2. Also 26. 3x-2y>2. Thank you for your help.

Algebra ->  Test -> SOLUTION: Please show me how to graph the inequality in a coordinate plane. 24. x+y is greater than or equal to -2. Also 26. 3x-2y>2. Thank you for your help.      Log On


   



Question 684962: Please show me how to graph the inequality in a coordinate plane. 24. x+y is greater than or equal to -2. Also 26. 3x-2y>2. Thank you for your help.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
First solve each inequality for y
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x%2By%3E=-2
y%3E=-x-2
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Second, plot intercepts
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The y intercept is -2
plot (0, -2)
The x intercept is when y = 0, so
0 = -x - 2
x = -2
plot (-2, 0)
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Third, draw a line through the intercepts.
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If the inequality is < or >, draw a dashed line so as to NOT include the points on the line.
If the inequality is <= or >=, draw a solid line so as to include the points on the line in the solution.
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In the case of y+%3E=+-x-2 draw a solid line
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Fourth, shade the area above or below the line.
If the inequality is < or <= shade the area below the line
If the inequality is > or >= shade the area above the line
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In the case of y+%3E=+-x-2 shade the area above the solid line.
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3x - 2y > 2
2y < 3x - 2
y < 3%2F2x - 1
y intercept at -1, plot (0, -1)
x intercept where y = 0
0 = 3%2F2x - 1
1 = 3%2F2x
2%2F3 = x
plot (2%2F3, 0)
draw a dashed line through the intercepts and shade the area below the line.
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