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§3.1 Inequalities and Their Graphs

§3.1 Inequalities and Their Graphs. Example 1: Writing Inequalities. What inequality represents the verbal expression? A.) All real numbers x less than or equal to -7 B.) 6 less than a number k is greater than 13. x < -7. k – 6 > 13. Example 2: Identifying Solutions by Evaluating.

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§3.1 Inequalities and Their Graphs

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  1. §3.1 Inequalities and Their Graphs

  2. Example 1: Writing Inequalities What inequality represents the verbal expression? • A.) All real numbers x less than or equal to -7 • B.) 6 less than a number k is greater than 13 x < -7 k – 6 > 13

  3. Example 2: Identifying Solutions by Evaluating Is the number a solution of 2x + 1 > -3? • A.) -3 • B.) -1 2(-3) + 1 > -3 -6 + 1 > -3 -5 > -3 FALSE 2(-1) + 1 > -3 -2 + 1 > -3 -1 > -3 TRUE

  4. Example 3: Graphing an Inequality What is the graph of 2 > a? -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  5. Example 4: Writing an Inequality From a Graph Things to remember when graphing/reading inequalities: • A.) Closed circles include the value it rests on • B.) Open circles exclude the value it rests on • C.) Any value on a shaded part of the number line is a solution of the inequality • Write an inequality for the graph below: -2 < x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  6. Assignment: Pg. 168 8-16 Left/Even, & 17-33 Left/Odd & Pg. 175 33-44 Left

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