main idea/vocabulary solve inequalities by using the addition or subtraction properties of...
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• Solve inequalities by using the Addition or Subtraction Properties of Inequality.
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Solving Inequalities
Solve –21 ≥ d – 8. Check your solution.
–21 ≥ d – 8 Write the inequality.
–21 + 8 ≥ d – 8 + 8 Add 8 to each side.
–13 ≥ d or d ≤ –13Simplify.
Answer: The solution is –13 ≥ d or d ≤ –13.
Check
–21 ≥ d – 8 Write the inequality.
–21 ≥ –22 This statement is true.
–21 ≥ –14 – 8Replace d with a number less than or equal to –13, such as –14.
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1. A
2. B
3. C
4. D0% 0%0%0%
A. b > 16
B. b > 8
C. b > –8
D. b > –16
Solve b – 12 > 4.
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Solving Inequalities
Solve y + 5 > 11. Check your solution.
y + 5 > 11 Write the inequality.
y + 5 – 5 > 11 – 5 Subtract 5 from each side.
y > 6 Simplify.
Answer: The solution is y > 6.
Check Replace y in the original inequality with a number greater than 6.
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1. A
2. B
3. C
4. D0% 0%0%0%
A. g ≤ 4
B. g ≥ 4
C. g ≤ –4
D. g ≥ –4
Solve 9 ≤ g + 13. Check your solution.
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Kayta took $12 to the bowling alley. Shoe rental costs $3.75. What is the most he could spend on games and snacks?
Read the ItemThe phrase the most means less than or equal to.
Solve the ItemLet d = dollars spent on games and snacks.
Estimate $12 – $4 = $8
Cost of shoe rental plus
dollars spent on games and snacks
is less than or equal to $12.
3.75 d 12
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3.75 + d ≤12 Write the inequality.
Answer: So, Kayta could spend no more than $8.25 on games and snacks.
3.75 – 3.75 + d ≤12 – 3.75
Subtract 3.75 from each side.
d ≤ 8.25Simplify.
Check for Reasonableness $8.25 ≈ $8
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1. A
2. B
3. C
4. D0% 0%0%0%
A. $17.00
B. $17.70
C. $17.75
D. $18.75
Monique took $20 to the bookstore. She spent $2.25 on a snack at the library café. What is the most she could spend on books?
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1. A
2. B
3. C
4. D0% 0%0%0%
A. g > 90
B. g ≥ 90
C. g < 90
D. g ≤ 90
Write an inequality for the sentence. A grade of no less than 90 is considered an "A."
(over Lesson 8-6)
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1. A
2. B
3. C
4. D0% 0%0%0%
A. a ≥ 10
B. a > 10
C. a ≤ 10
D. a < 10
Write an inequality for the sentence. Children age 10 and under can order from the kids menu.
(over Lesson 8-6)
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1. A
2. B
0%0%
A. true
B. false
For the given value, state whether the inequality is true or false.8 + n > 12; n = 5
(over Lesson 8-6)
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1. A
2. B
0%0%
A. true
B. false
For the given value, state whether the inequality is true or false.y – 15 ≤ –7; y = 8
(over Lesson 8-6)
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1. A
2. B
0%0%
A. true
B. false
For the given value, state whether the inequality is true or false.–5x ≤ 40; x = –10
(over Lesson 8-6)
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1. A
2. B
3. C
4. D
0% 0%0%0%
A. n > 5
B. n ≥ 5
C. n < 5
D. n ≤ 5
Which inequality is graphed on the number line?
(over Lesson 8-6)
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