Algebra 1 3-6 Guided Practice: Compound Inequalities

by Matthew Richardson

| 12 Questions1

1

10

Solve It! The diagram shows the number of boxes of oranges that an orange tree can produce in 1 year. An orange grower earns $9.50 for each box of oranges that he sells. How much could the grower expect to earn in 1 year from 1 tree? Explain your reasoning.

2

5

Problem 1 Got It? Write a compound inequality that represents the phrase.

all real numbers that are greater than or equal to -4 and less than 6

4 < x ≤ 6

-4 ≤ x < 6

6 < x ≤ -4

-6 ≤ x < 4

3

10

Problem 1 Got It? Graph the compound inequality that represents the phrase.

all real numbers that are greater than or equal to -4 and less than 6

4

5

Problem 1 Got It? Write a compound inequality that represents the phrase.

all real numbers that are less than or equal to 2.5 or greater than 6

x ≤ 6 or x > 2.5

x ≤ 2.5 or x > 6

6 ≤ x < 2.5

x ≤ -2.5 or x > 6

5

10

Problem 1 Got It? Graph the compound inequality that represents the phrase.

all real numbers that are less than or equal to 2.5 or greater than 6

6

10

Problem 1 Got It? What is the difference between "x is between -5 and 7" and "x is between -5 and 7, inclusive"?

7

10

Problem 2 Got It? What are the solutions of -2 < 3y - 4 < 14? Graph the solutions.

Remember to write the simplified compound inequality before graphing the solutions on the number line.

8

10

Problem 3 Got It? Reasoning: Suppose you scored 78, 78, and 79 on the first three tests. Is it possible for you to earn a B in the course? Explain.

Recall that in this scenario Bs represent grades of 84 - 86, inclusive.

Assume that 100 is the maximum grade that you can earn in the course.

9

10

Problem 4 Got It? What are the solutions of -2y + 7 < 1 or 4y + 3 ≤ -5? Graph the solutions.

Remember to write the simplified compound inequality before graphing the solutions on the number line.

10

10

Problem 5 Got It? How do you write (-2, 7] as an inequality?

7 < b ≤ -2

-2 > b ≥ 7

-2 < b ≤ 7

-2 ≤ b < 7

11

10

Problem 5 Got It? What is the graph of (-2, 7]?

12

10

Problem 5 Got It? How do you write y > 7 in interval notation?

[7, ∞]

[7, ∞)

(7, ∞]

(7, ∞)

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