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The Wolves basketball team is pictured below. Can you determine the height of each player?

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ANSWER Player's Heights: –King is 76.5 inches tall. –Boomer is 79 inches tall. –Julie is 74.5 inches tall. –Carmello is 77 inches tall. –Timmy is 72 inches tall. –Larry is 75.25 inches tall.

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a.) What inequality is depicted by this see-saw? b.) Solve the inequality for x?

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ANSWER a.) The see-saw depicts x + 3 < 7. b.) x + 3 < 7 x < 4

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Solving linear inequalities is pretty much the same as solving linear equations... with one very important exception.

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Look at this true statement: Suppose we multiply both sides by -1. 5 > 3 (-1)(5) ? (3)(-1) -5 ? -3

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What is the relationship between these two numbers ? ANS: -5 is less than -3 because it is further to the left on the number line. - 5 < -3

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So we just learned the one exception. That is: When you multiply an inequality by a negative number, it changes the direction of the inequality. This is also true if you divide by a negative.

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EXAMPLE: -5x < 10 -5 -5 x > -2 Dividing both sides by a negative number reverses the inequality sign. Divide both sides by negative 5

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Lets Practice Solve and Graph 1.-12 < 2r 2.r/3 > 2 3.x + 3 < -4 4.-4w > 12 0 -10 -5 5 10

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Writing Inequalities Write an algebraic inequality 1.The recipe calls for not less than 16 ounces of butter. 2.Mr. Valdez says he cannot contribute more than $500. 3.The team will have to score no fewer than 20 points to win. 4.The sleeping bag is useful for camping when temperatures are at least -5F. x 16 x 500 x 20 x -5

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Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

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