Understanding Interval Notation and Inequalities

Understanding Interval Notation and Inequalities

9th Grade

26 Qs

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Understanding Interval Notation and Inequalities

Understanding Interval Notation and Inequalities

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, 7.EE.B.4B

Standards-aligned

Created by

Ella S.

Used 5+ times

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26 questions

Show all answers

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

Media Image

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

Media Image

What is the interval notation for this graph?

Tags

CCSS.6.EE.B.8

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