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The length of any bounded interval, [a, b], (a, b), [a, b), or (a, b], is the distance between its endpoints: b − a . Any bounded interval has a fi nite length.
Exercise Set 1.7: Interval Notation and Linear Inequalities 94 University of Houston Department of Mathematics For each of the following inequalities: (a) Write the inequality algebraically. (b) Graph the inequality on the real number line. (c) Write the inequality in interval notation. 1. x is greater than 5. 2. x is less than 4.
Read the attached page of notes first below beginning this activity. It gives you examples of domain and range problems just like these. Match each domain and range given in this table with a graph labeled from A to L on the attached page. Only use Graphs A – L for this page.
Range: -5 £ y £ 1 12) x y-8-6-4-22468-8-6-4-2 2 4 6 8 The relation is a function. Domain: -6 £ x £ 4 Range: -7 £ y £ 6 Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
4) The path of an underground stream is given by the function = 4 + 17 − 32. Two new houses need wells to be dug. On the area plan, these houses lie on a line defined by the equation = −15 + 100. Determine the coordinates where the two new wells should be dug.
Introducing Interval Notation. Objective: Students will become familiar with interval notation and be able to use it to represent sets of numbers given graphically and in inequality form. Connections to Previous Learning: Students should be familiar with inequalities, number line graphs, and the terms “increasing,” “decreasing,” and “constant.”
Interval Notation. Note that on the graph [ and ] are the same as • and ( and ) are the same as . The symbol ∪ represents the union of two or more sets. It is used to combine two (or more) intervals together to make a single set.
