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Published byBriana Foster Modified over 9 years ago
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1.What is the equation of a line passing through the point (8, -3) and having no slope? 2.If the slope of a line is -5 and the line contains the points (2, 3) and (x, -7), what is the value of x?
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Lesson 1.7 Solving Inequalities in One Variable
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Write, solve and graph linear inequalities in one variable Solve and graph compound linear inequalities in one variable.
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A company manufactures a small gear for a car. The cost of producing the gear is C = 40x+868. The money earned, or the revenue, from selling x gears is R = 54x. In order to make a profit, the revenue must be greater than the cost. How many gears does the company need to sell to make a profit???
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Inequalities are solved in exactly the same way equations are solved except Reverse the inequality sign if you multiply or divide by a negative number
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Solve the inequality: Combine like terms Subtract 6 from both sides Divide by -6 and flip the inequality!
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ANS: y>-2
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Inequalities in one variable are graphed on a number line. Open circle Closed circle
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Solve and graph:
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Write an inequality when given the graph
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Solve compound inequalities A compound inequality is a pair of inequalities joined by “and” or “or”. For example: or
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Solve and graph the compound inequality: or When you solve a compound inequality involving or, find the values that make either inequality true.
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Solve and graph the compound inequality: and When you solve a compound inequality involving and, find the values that make both inequalities true.
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Solve and graph the compound inequalities: and
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Solve and graph the compound inequalities: or
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Big hint to remember!! An “or” graph typically looks like this: An “and” graph typically looks like this: But not all the time!
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Write a compound inequality given the graph:
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But not all the time! Graph on a number line: or
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But not all the time! Graph on a number line: and
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Lesson 1.7 Pg. 58 10 – 60 every other even Pg. 944 Lesson 1.6 25-29
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