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> Inequalities

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You must be at least 18 years old to vote. a > 18 The speed limit is 55 mph. s < 55 The package weight must be less than 80 pounds. w < 80 The president of the United States must be at least 35 years old. a > 35 2

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< Less than or = No more than Up to Is at most > Greater than More than Higher than Over Exceeds < Less than Below Under Fewer than > Greater than or = At least A minimum of Is no less than Is at least 3

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State whether each inequality is true or false: 1) a + 2 > 8, a = 5 2) 10 < 7 – x, x = -3 3) n – 6 < 15, n = 18 4) -3p > 24, p = 8 5) -2 > 5y – 7, y = 1 4

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You try these x – 4 < 6, x = 0 3x > 4, x = 1 n > 5, n = 12 4 5

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n < 3 | | | | | | | | | | | | | | | | -7 -6 -5 -4 -3-2 -1 0 1 2 3 4 5 6 7 8 x > - 4 | | | | | | | | | | | | | | | | -7 -6 -5 -4 -3-2 -1 0 1 2 3 4 5 6 7 8 6

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1) n > 3 2) x < 5 3) x < 1 4) n > - 1 5) b < - 4 7

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Same rules as for solving equations. If x – 2 = 3, add 2 to both sides, x = 5 If x – 2 > 5, add 2 to both sides, x > 5 If – 4 > a + 7, subtract 7 from both sides, - 11 > a or a > - 11 9

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A1) a + 3 > 12 22) 2 > p – 5 N3) n + ½ > 4 Y4) y - ⅓ < 5 10

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South American manatees can weigh up to 1300 pounds. If one of the manatees weighs 968 pounds, up to how much weight might this manatee gain? Using w to represent the weight gained, write an inequality and solve it. 11

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Some problems produce equations that have variables on both sides of the equal sign.

Some problems produce equations that have variables on both sides of the equal sign.

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