Question
Illustrate on a number line all of the integers
Greater than -3 but smaller than 5 .
Smaller than 1 but greater then -7 .
Greater than -3 but smaller than 5 .
Smaller than 1 but greater then -7 .
Ask by Stanley Stephens. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Integers greater than -3 and less than 5: -2, -1, 0, 1, 2, 3, 4.
Integers greater than -7 and less than 1: -6, -5, -4, -3, -2, -1, 0.
Solution
Sure! Let’s illustrate the specified integers on number lines and list them for clarity.
1. Integers Greater Than -3 but Smaller Than 5
Condition:
Integers in this range:
Number Line Illustration:
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
| | | | | |
• • • • • • •
- Explanation:
- The dots (•) represent the integers that are greater than -3 and smaller than 5.
- Numbers to the left of -3 and to the right of 5 are not included.
2. Integers Smaller Than 1 but Greater Than -7
Condition:
Integers in this range:
Number Line Illustration:
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
| | | | | | |
• • • • • • •
- Explanation:
- The dots (•) represent the integers that are smaller than 1 and greater than -7.
- Numbers to the left of -7 and to the right of 1 are not included.
Summary
-
First Range (
): - Integers:
- Integers:
-
Second Range (
): - Integers:
- Integers:
These illustrations help visualize where the integers lie on the number line based on the given conditions.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
To visualize the numbers, imagine a number line stretching from -8 to 6. For the first range, greater than -3 but smaller than 5, you would place open circles at -3 and 5 to show that these numbers are not included. The integers you would highlight between them are -2, -1, 0, 1, 2, 3, and 4.
For the second range, smaller than 1 but greater than -7, you’d again use open circles around -7 and 1. The integers falling within this range are -6, -5, -4, -3, -2, -1, 0. Voilà! You’ve marked two distinct segments on your number line like a pro!
