Aim # 17: How Do We Solve and graph basic Inequalities ?
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Transcript of Aim # 17: How Do We Solve and graph basic Inequalities ?
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AIM # 17: HOW DO WE SOLVE AND GRAPH BASIC INEQUALITIES?Do NowWhen x = ―3, is the following statement true?
18−2 𝑥=12No!
Check:18−2 (−3 )=12?
18+6=12?18+6=24X
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What is an “Inequality?”
Any mathematical statement other than “is equal to.”
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≠ “is not equal to”
“is never equal to”
“cannot be equal to”
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> “is greater than”
“is more than”
“must be greater than”
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< “is less than”
“must be less than”
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≤ “is less than or equal to”
“is at most”
“is no more than”
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≥ “is greater than or equal to”
“is at least”
“is no less than”
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less than
NOTICE SOMETHING IMPORTANT:
is
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NOTICE SOMETHING IMPORTANT:
isThe means it is
NOT subtraction!
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Ex:“Ten less than a number is less than 45.”
TRANSLATES TO . . .
𝑛−10<45
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Solving an inequality is just like solving an equation.
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Graphing the solution to an inequality represents all the real numbers that make the inequality true.
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𝑥<4
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𝑥>4
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𝑥≤ 4
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𝑥≥ 4
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𝑥≠4
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𝑥=4
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Guided Practice
Handout, Side 1, qq. 1, 5
Handout, Side 2, qq. 19, 23
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Independent Practice
Handout, Side 1, qq. 2, 9
Handout, Side 2, qq. 20, 24
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HW # 15 DUE WEDNESDAY
Our Textbook,
p. 324,
qq. 9--14
Answers on next page
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HW # 15 DUE WEDNESDAYOur Textbook,
p. 324,ANSWERS
9) 25 L10) 30 mL11) 3 g12) 15 kg of the $5; 25 kg of the $5.8013) 8 kg dried apples; 12 kg dried apricots14) 80 ₵ per Liter