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Which is worth more? Four $10 bills? Six $5 bills or Six $5 bills = $30 Four $10 bills = $40 So, Four $10 bills is worth more. How do we say this mathematically? $40 is greater than $30… or $40 > $30 We can also say…. $30 is less than $40 or $30 < $40 We call these INEQUALITIES What are the inequality signs? > greater than > < less than < greater than or equal to less than or equal to How do we write and graph inequalities? A number, x, is greater than 3. x>3 or Next, how do we graph this? 3<x Steps to Graphing Inequalities 1. Draw a number line (with numbers!). 2. Place a dot on the numbers. Closed circle indicates equal to (> or <) Open circle indicates not equal to (< or >) 3. Draw an arrow in the direction of all possible numbers -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Graph x < 2 Draw an open – circle at 2. What numbers are less than 2 ? -2 -1 Draw an arrow towards 1, 0, -1, etc. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 0 1 Graph x > -3 Draw an closed circle at -3 What numbers are greater than -3 ? -2 Draw an arrow towards -2, -1, 0, 1 etc. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -1 0 1 Now, it’s time to play….. Which is the correct graph for x < 4 ? A -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 B -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 C D -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 The correct answer is….. D -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Which is the correct inequality for the following graph? -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 A x < -1 B > -1 C x < -1 D > -1 6 7 Find the graph that matches the inequality