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
#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:
Solutions:
a) [9, ∞) - interval notation
{x | x ≥ 9}- set-builder notation
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#2:
Solutions:
a) (-∞, -7) - interval notation
{x | x < -7}- set-builder notation
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#3:
Solutions:
a) (2, ∞) - interval notation
{x | x > 2}- set-builder notation
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#4:
Solutions:
a) [-9, 9] - interval notation
{x | -9 ≤ x ≤ 9}- set-builder notation
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#5:
Solutions:
a) (-4, 2] - interval notation
{x | -4 < x ≤ 2}- set-builder notation
