Understanding Interval Notation and Inequalities
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ella S.
Used 5+ times
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26 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following represents the interval notation for all numbers greater than 3 and less than or equal to 7?
Answer explanation
The interval notation (3, 7] indicates that numbers greater than 3 are included (3 is not included) and numbers up to and including 7 are included. Thus, (3, 7] correctly represents all numbers greater than 3 and less than or equal to 7.
Tags
CCSS.6.EE.B.8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The inequality -2 ≤ x < 5 indicates that -2 is included (hence the bracket [) and 5 is not included (hence the parenthesis ). Therefore, the correct interval notation is [-2, 5).
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A line extending to the left from 4 with an open circle at 4
A line extending to the left from 4 with a closed circle at 4
A line extending to the right from 4 with an open circle at 4
A line extending to the right from 4 with a closed circle at 4
Answer explanation
The interval (-∞, 4] includes all numbers less than or equal to 4. This is represented by a line extending to the left from 4 with a closed circle at 4, indicating that 4 is included in the interval.
Tags
CCSS.6.EE.B.8
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The union of the intervals (-∞, 2) and (1, 5] includes all numbers less than 2 and all numbers greater than 1 up to 5. Thus, it covers all numbers up to 5, leading to the correct answer: (-∞, 5].
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
To solve the inequality 3x - 1 ≤ 8, add 1 to both sides to get 3x ≤ 9. Then, divide by 3 to find x ≤ 3. In interval notation, this is expressed as (-∞, 3]. Thus, the correct answer is (-∞, 3].
Tags
CCSS.7.EE.B.4B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Look at the graph. Write the inequality in interval notation.
(-2,5)
(-∞,-2)⋃(5,∞)
[-2,5]
(-∞,-2]∪[5,∞)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the interval notation for this graph?
Tags
CCSS.6.EE.B.8
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