Mastering Interval Notation and Inequalities

This video tutorial introduces interval notation as a compact way to represent ranges of numbers without graphing. It explains the use of brackets and parentheses, and how to denote infinity in interval notation. The tutorial includes practice examples to illustrate how to write interval notation for various inequalities, emphasizing the importance of using parentheses with infinity symbols.

What is the main purpose of interval notation?

• To find the slope of a line

• To solve equations

• To avoid drawing graphs

• To make calculations easier

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CCSS.6.EE.B.8

How are the two numbers in interval notation separated?

• By a comma

• By a dash

• By a semicolon

• By a colon

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CCSS.6.EE.B.8

What symbol is used to represent infinity in interval notation?

• A sideways eight

• A circle

• A triangle

• A square

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CCSS.6.EE.B.8

In interval notation, what does a parenthesis indicate?

• The interval is infinite

• The interval is finite

• The number is excluded

• The number is included

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CCSS.6.EE.B.8

How would you write the interval notation for X > 3?

• (3, ∞)

• [3, ∞)

• [3, ∞]

• (3, ∞]

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CCSS.6.EE.B.8

What is the interval notation for X ≥ -7?

• [-7, ∞)

• (-7, ∞)

• [-7, ∞]

• (-7, ∞]

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CCSS.6.EE.B.8

Why can't we use a bracket with the infinity symbol?

• Because infinity is not a number we can reach

• Because it is a rule

• Because it is always positive

• Because it is always negative

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CCSS.6.EE.B.8

What is the interval notation for X ≥ 10/3?

• (10/3, ∞]

• [10/3, ∞]

• (10/3, ∞)

• [10/3, ∞)

Tags

CCSS.6.EE.B.8

How would you write the interval notation for X ≤ -6?

• (-∞, -6]

• [-∞, -6]

• [-∞, -6)

• (-∞, -6)

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CCSS.6.EE.B.8

What is the interval notation for X > 3/4?

• [3/4, ∞]

• (3/4, ∞]

• (3/4, ∞)

• [3/4, ∞)

Tags

CCSS.6.EE.B.8