2 Interval Notation- Uses inequalities to describe subsets of real numbers. Example:This is an example of a Bounded IntervalThat is because x is in the middle or bound by the numbers on the end-2 ≤ x < 6
3 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 ≤ x < 6[-2
4 -2 ≤ x < 6 [-2 , 6) Since x cannot be 6, we’ll use a parenthesis ) This means that x is less than 6 and cannot equal it-2 ≤ x < 6[-2, 6)
6 (-5, 9] = -5 9 < x ≤ -5 is the starting point on the left Write an inequality to represent the following interval notation:(-5, 9]= -59< x≤-5 is the starting point on the leftParenthesis mean not equal9 is the end point on the rightBracket means it is equal to
7 x ≤ 6 ∞ Unbounded Interval Example: Write the following in interval notation:In this case the x is not in the middle of two numbersThat 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 signx ≤ 6∞
8 x ≤ 6 (-∞ , 6] Since x is smaller than 6, the 6 is the right bound Use a bracket since it can be equal toThe other side has an infinite number of solutions, so we’ll use the infinity signSince it goes on forever in a negative direction, ∞ has to be negativeSince you can’t equal infinity, use a parenthesis(-∞, 6]
Your consent to our cookies if you continue to use this website.