Math Problem Statement
Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
[-7,,\ <, -5]
A
[-7,,\ <, -5]
(Choice B)
[-7,,\ <,,,,,,\ 0]
B
[-7,,\ <,,,,,,\ 0]
(Choice C)
[,,,,,7,,\ >, -7]
C
[,,,,,7,,\ >, -7]
Solution
Let's evaluate each inequality:
Choice A:
This is correct because on the number line, is to the left of , meaning is less than .
Choice B:
This is correct because is to the left of on the number line, so is less than .
Choice C:
This is also correct because is to the right of on the number line, meaning is greater than .
Correct answers:
- Choice A:
- Choice B:
- Choice C:
Do you want more details or have any questions?
Here are 5 related questions:
- What is the significance of the number line when comparing numbers?
- Can a negative number ever be greater than a positive number?
- What is the relationship between absolute values and inequalities?
- How does multiplying or dividing both sides of an inequality by a negative number affect the inequality?
- How do inequalities change when shifting all terms by a constant value?
Tip: When comparing numbers on a number line, remember that numbers to the right are always greater than those to the left.
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Math Problem Analysis
Mathematical Concepts
Number Line
Inequalities
Comparing Negative and Positive Numbers
Formulas
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Theorems
Properties of Inequalities
Number Line Ordering
Suitable Grade Level
Grades 6-8