Post on 14-Feb-2016
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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
What is an “Inequality?”
Any mathematical statement other than “is equal to.”
≠ “is not equal to”
“is never equal to”
“cannot be equal to”
> “is greater than”
“is more than”
“must be greater than”
< “is less than”
“must be less than”
≤ “is less than or equal to”
“is at most”
“is no more than”
≥ “is greater than or equal to”
“is at least”
“is no less than”
less than
NOTICE SOMETHING IMPORTANT:
is
NOTICE SOMETHING IMPORTANT:
isThe means it is
NOT subtraction!
Ex:“Ten less than a number is less than 45.”
TRANSLATES TO . . .
𝑛−10<45
Solving an inequality is just like solving an equation.
Graphing the solution to an inequality represents all the real numbers that make the inequality true.
𝑥<4
𝑥>4
𝑥≤ 4
𝑥≥ 4
𝑥≠4
𝑥=4
Guided Practice
Handout, Side 1, qq. 1, 5
Handout, Side 2, qq. 19, 23
Independent Practice
Handout, Side 1, qq. 2, 9
Handout, Side 2, qq. 20, 24
HW # 15 DUE WEDNESDAY
Our Textbook,
p. 324,
qq. 9--14
Answers on next page
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