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Lesson 3-1 Inequalities and Their Graphs How can I use inequalities and their graphs to compare quantities? Algebra 5.0 I can solve multi-step problems including word problems involving linear inequalities in one variable Homework • Textbook page 126-127 #2-36 even »OR • Workbook page 227 #4-21 all Vocabulary • Inequality – – A math sentence using one of the inequality symbols, <, >, <, >, or = • Solution of an Inequality – – Any number that makes an inequality true Identify Solutions by Mental Math • Ex. 1- Is each number a solution of x < 7? – A. – B. – C. – D. – E. – F. 9 14/2 -5 8 -4.1 0 Identifying Solutions by Evaluating • Ex. 2 - Is each number a solution of 2 – 5y > 13? – A. 3 – B. -4 Graphing Inequalities • You can use a graph to indicate all solutions of an inequality. 1. Draw a number line. 2. Identify the numbers on your number line. a) a few above and a few below your boundary number. 3. Determine whether to use an open or closed dot. a) open indicates boundary number is not part of the solution b) closed indicates boundary number is part of the solution 4. Determine which direction to shade. Graphing Inequalities continued • Graph c > -2 • Graph 4 < m Write an Inequality from a Graph -5 -4 -3 -2 -1 0 1 2 3 4 -1 0 1 2 3 4 5 6 7 8 -5 -4 -3 -2 -1 0 1 2 3 4 -5 -4 -3 -2 -1 0 1 2 3 4 Application • Define a variable and write an inequality for each situation. Homework • Textbook pages 126-127 #2-36 even »OR • Workbook page 227 #4-21 all