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Interval Notation

Interval Notation. Interval Notation- Uses inequalities to describe subsets of real numbers. Example: This is an example of a Bounded Interval That is because x is in the middle or bound by the numbers on the end. -2 ≤ x < 6. -2 ≤ x < 6.

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Interval Notation

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  1. Interval Notation

  2. Interval Notation- Uses inequalities to describe subsets of real numbers. • Example: • This is an example of a Bounded Interval • That is because x is in the middle or bound by the numbers on the end -2 ≤ x < 6

  3. -2 ≤ x < 6 • We will use brackets and parenthesis to represent the numbers that x can be • Since x can be equal to -2 we use a bracket: [ • This means that x starts at -2 and can be equal to it [-2

  4. -2 ≤ x < 6 • Since x cannot be 6, we’ll use a parenthesis ) • This means that x is less than 6 and cannot equal it [-2 , 6)

  5. Let’s look at it from the answer!

  6. Write an inequality to represent the following interval notation: (-5, 9] 9 = -5 ≤ < x -5 is the starting point on the left Parenthesis mean not equal Bracket means it is equal to 9 is the end point on the right

  7. Unbounded Interval • Example: Write the following in interval notation: • In this case the x is not in the middle of two numbers • That means it’s not “bound” • There are a infinite amount of numbers that are less than 6, so we’re going to have to use the infinity sign x ≤ 6 ∞

  8. x ≤ 6 • Since x is smaller than 6, the 6 is the right bound • Use a bracket since it can be equal to • The other side has an infinite number of solutions, so we’ll use the infinity sign • Since it goes on forever in a negative direction, ∞ has to be negative • Since you can’t equal infinity, use a parenthesis (-∞ , 6]

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