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Interval Notation Test
About Interval Notation:

When solving linear inequalities in one variable, the solution is often a range of numbers or an interval. To display an interval, we have a special type of notation, known as interval notation. We can also use set builder notation or graph the interval using a number line.

Test Objectives:

•Demonstrate the ability to write an interval using interval notation

•Demonstrate the ability to write an interval using set builder notation

•Demonstrate the ability to graph an interval on a number line

Interval Notation Test:




#1:


Instructions: Write each in interval notation, set builder notation, and graph the interval.


a) x ≥ 9


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#2:


Instructions: Write each in interval notation, set builder notation, and graph the interval.


a) x < -7


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#3:


Instructions: Write each in interval notation, set builder notation, and graph the interval.


a) x > 2


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#4:


Instructions: Write each in interval notation, set builder notation, and graph the interval.


a) -9 ≤ x ≤ 9


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#5:


Instructions: Write each in interval notation, set builder notation, and graph the interval.


a) -4 < x ≤ 2


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Written Solutions:




#1:


Solution:


a) [9, ∞) - interval notation


{x | x ≥ 9} - set builder notation


graphing an interval on a number line


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#2:


Solution:


a) (-∞, -7) - interval notation


{x | x < -7} - set builder notation


graphing an interval on a number line


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#3:


Solution:


a) (2, ∞) - interval notation


{x | x > 2} - set builder notation


graphing an interval on a number line


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#4:


Solution:


a) [-9, 9] - interval notation


{x | -9 ≤ x ≤ 9} - set builder notation


graphing an interval on a number line


Watch the Step by Step Video Solution



#5:


Solution:


a) (-4, 2] - interval notation


{x | -4 < x ≤ 2} - set builder notation


graphing an interval on a number line


Watch the Step by Step Video Solution