lesson menu main idea and new vocabulary example 1:write inequalities example 2:write inequalities...
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Main Idea and New Vocabulary
Example 1: Write Inequalities
Example 2: Write Inequalities
Example 3: Write Inequalities
Example 4: Write Inequalities
Example 5: Determine the Truth of an Inequality
Example 6: Determine the Truth of an Inequality
Example 7: Graph an Inequality
Example 8: Graph an Inequality
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• Write and graph inequalities.
• inequality
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Write Inequalities
Write an inequality for the sentence.Johann needs less than 2 hours to paint his room.
Let r = the number of hours.
Answer: r < 2
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A. c < 5
B. c > 5
C. c ≤ 5
D. c ≥ 5
Write an inequality for the sentence.More than 5 cups of popcorn are needed to make popcorn balls.
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Write an inequality for the sentence.Lena walked more than 20 miles for charity.
Write Inequalities
Let w = the number of miles.
Answer: w > 20
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A. d < 3
B. d > 3
C. d ≤ 3
D. d ≥ 3
Write an inequality for the sentence.Josh has less than 3 days to return his library books.
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Write Inequalities
Write an inequality for the sentence.At least $30 must be spent to get a discount on the groceries.
Let g = the amount spent on groceries.
Answer: g ≥ 30
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A. f < 7
B. f > 7
C. f ≤ 7
D. f ≥ 7
Write an inequality for the sentence.An aquarium can hold no more than 7 fish.
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Write an inequality for the sentence.There can be at most 5 people in the car.
Write Inequalities
Let p = the number of people.
Answer: p ≤ 5
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A. x > 6
B. x < 6
C. x ≥ 6
D. x ≤ 6
Write an inequality for the sentence.A plant needs at least 6 hours of sunlight.
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Determine the Truth of an Inequality
State whether the inequality x – 4 < 6 is true or false for x = 0.
x – 4 < 6 Write the inequality.
– 4 < 6 Simplify.
0 – 4 < 6 Replace x with 0.?
Answer: Since –4 < 6 is true, the inequality is true for x = 0.
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A. true
B. false
State whether the inequality 10 y – 3 is true or false for y = 8.
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Determine the Truth of an Inequality
State whether the inequality 3x ≥ 4 is true or false for x = 1.
3x ≥ 4 Write the inequality.
3(1) ≥ 4 Replace x with 1.?
Answer: Since 3 is not greater than or equal to 4, 3 ≥ 4 is false. So, the inequality is false for x = 1.
3 ≥ 4 Simplify.
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A. true
B. false
State whether the inequality 6x 5 is true or false for x = –1.
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Graph an Inequality
Graph the inequality n > –1 on a number line.
Answer:
Place an open dot at –1. Then draw a line and an arrow to the right.
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Graph the inequality k < –3 on a number line.
A.
B.
C.
D.
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Graph an Inequality
Graph the inequality n ≤ –1 on a number line.
Answer:
Place a closed dot at –1. Then draw a line and an arrow to the left.
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Graph the inequality x > 4 on a number line.
A.
B.
C.
D.
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