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Linear Inequalities
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What is the inequality graphed here? (in y > mx+b form)
y ≥ x+1
Oops!
Okay!
What is the y-intercept of the equation shown?
-2
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Is the origin a solution to this inequality?
NO, it is not in the shaded region
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What is the slope of this line?
-1
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Which type of inequality symbol does this graph represent? (> or ≥)
≥
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Would this inequality be graphed with a SOLID or DOTTED line? y > 2x+1
DOTTED
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What would be the first step to graphing an inequality that looks like this? 6x + 2y > 12
Get the y by itself. (It is much easier to graph this: y > 3x +6 than it is to graph this: 6x + 2y = 12)
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Is the point (2,1) a solution to this inequality?
YES
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What would be the first step of graphing this inequality? y ≥ -3x +8
Plot the y-intercept (up 8 on the y-axis)
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Which type of inequality symbol does this graph represent? (< or ≤)
<
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What is the slope of this line?
1
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Is the point (5,1) a solution to this inequality?
YES, it is in the shaded region
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What is the inequality graphed here? (in y > mx+b form)
y ≤ -x - 6
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Name any TWO solutions (x,y) to the inequality shown
Any two points in the shaded area (x,y)
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How do you know which side of the line to shade?
Look at the direction of your symbol (> or <)
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Would this inequality be graphed with a SOLID or DOTTED line? y ≤ -2x-7
SOLID
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What is the slope of the inequality shown? (or closest estimate)
2
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What is the inequality being graphed here? ( in y > mx+b form)
y < x
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What should your symbol look like if you're graphing a DOTTED line?
< or >
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What should your symbol look like if you're graphing a SOLID line?
≤ or ≥
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Okay!
What is the inequality being graphed here? ( in y > mx+b form)
y ≥ 2x -2
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Okay!
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