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How can you represent the concept of having more than $2?

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In this lesson you will learn to represent real-world scenarios involving inequalities with a number line.

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Let’s Review A variable is a letter or symbol that represents an unknown number or set of numbers. For example, x or ★ could be used to represent unknown numbers. An inequality has more than 1 solution.

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An open circle A closed circle > greater than < less than ≥ greater than or equal to ≤ less than or equal to represents: represents:

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The highlighted numbers are part of the solution set of the inequality. x could equal 2.3, 5, 10, 13½, 30, 500…

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Core Lesson Write an inequality and represent it on a number line. Jessie needs to set the freezer temperature so the ice cubes do not melt. What temperature should the freezer be set at? Let x = freezer temperature

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Jessie needs to set the freezer temperature so the ice cubes do not melt. At what temperatures does water freeze? At what temperatures would ice melt? x equals more than 1 number – inequality

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Core Lesson Jessie needs to set the freezer temperature so the ice cubes do not melt. At what temperature should the freezer be set? x has to be 32ºF or less! Use ≤ or ≥ since it can equal 32ºF

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Core Lesson Jessie needs to set the freezer temperature so the ice cubes do not melt. At what temperature should the freezer be set? x ≤ 32 2930313233

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In this lesson you have learned to represent real-world scenarios involving inequalities with a number line.

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Guided Practice Write an inequality and represent it on a number line. To ride the Batman roller coaster you must be at least 54 inches. How tall can you be to ride the roller coaster?

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Extension Activities Given an inequality, create an equivalent representation in word problem form. 1. x > -5 2. 7 < x 3. 12 ≤ x 4. x ≥ -2

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Inequalities can be represented with words, symbols, and number lines. Use a stack of inequality cards. For each of these inequalities, construct the other two equivalent representations.

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Quick Quiz Justin needs to earn a score of 80 on his next math test to earn a B for the semester. Which inequality shows the grades that will allow Justin to earn a B? A B C D

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Because things aren’t always equal... Inequalities.

Because things aren’t always equal... Inequalities.

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