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## PowerPoint Slideshow about ' Graphing Inequalities' - yonah

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### Graphing Inequalities

Standard: Solve and graph inequalities in one variable.

Essential Question: How can I graph an inequality?

An inequality is a sentence that contains a <, >, <, or > sign.

Examples:

x < 3 is read “x is less than three”

x > 3 is read “x is greater than three”

x< 3 is read “x is less than or equal to three”

x> 3 is read “x is greater than or equal to three”

To graph x < 3, put at least 3 points on the number line with 3 (boundary point) in the middle. Place one number less than the boundary point and one number greater than the boundary point.

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Then circle the boundary point. Since x < 3, this means that the values for x can be any number less than 3. Show this on the graph by shading numbers less than 3.

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To graph x > 3, put at least 3 points on the number line with 3 (boundary point) in the middle. Place one number less than the boundary point and one number greater than the boundary point.

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Then circle the boundary point. Since x > 3, this means that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.

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To graph x that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.< 3, put at least 3 points on the number line with 3 (boundary point) in the middle. Place one number less than the boundary point and one number greater than the boundary point.

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3

4

Then circle the boundary point. Since x that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.< 3, this means that the values for x can be any number less than 3 or equal to three. Show this on the graph by shading numbers less than 3. How can we show that the solution could be equal to three as well?

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Fill in the circle! that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.

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To graph x that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.> 3, put at least 3 points on the number line with 3 (boundary point) in the middle. Place one number less than the boundary point and one number greater than the boundary point.

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Try these on your own. that the values for x can be any number greater than 3. Show this on the graph by shading numbers greater than 3.

a > 2

c < 5

x > -3

y < -10

2 < x < 5

m < -3 or m > 1

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