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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.

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Presentation on theme: "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."— Presentation transcript:

1 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?

2 Lesson 1.7 Solving Inequalities in One Variable

3 Write, solve and graph linear inequalities in one variable Solve and graph compound linear inequalities in one variable.

4 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???

5 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

6 Solve the inequality: Combine like terms Subtract 6 from both sides Divide by -6 and flip the inequality!

7 ANS: y>-2

8 Inequalities in one variable are graphed on a number line. Open circle Closed circle

9 Solve and graph:

10 Write an inequality when given the graph

11 Solve compound inequalities A compound inequality is a pair of inequalities joined by “and” or “or”. For example: or

12 Solve and graph the compound inequality: or When you solve a compound inequality involving or, find the values that make either inequality true.

13 Solve and graph the compound inequality: and When you solve a compound inequality involving and, find the values that make both inequalities true.

14 Solve and graph the compound inequalities: and

15 Solve and graph the compound inequalities: or

16 Big hint to remember!! An “or” graph typically looks like this: An “and” graph typically looks like this: But not all the time!

17 Write a compound inequality given the graph:

18 But not all the time! Graph on a number line: or

19 But not all the time! Graph on a number line: and

20 Lesson 1.7 Pg. 58 10 – 60 every other even Pg. 944 Lesson 1.6 25-29


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