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Do Now Solve each inequality. −3e − 10 ≤ −4 2.
3. 8c + 4 > 4(c − 3) −8 + 4a −12 > 2a + 10
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Any Questions on the Homework?
Did you check your answers while you worked? Will you ace the quiz we’re having next Thursday and Friday? Also, shameless Key Club plug.
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Review: Graphing an Inequality on a Number Line
How would you graph: X < 7 ≥ x
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What If Two Inequalities Were True?
Combining two or more simple inequalities forms a compound inequality. The graph of a compound inequality involving AND is the intersection, or the overlapping region, of the simple inequality graphs.
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Examples (these are for your notes)
Solve each compound inequality and graph the solution. 4 ≤ x + 2 ≤ 8
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Another Example Solve each compound inequality and graph the solution.
B. -5 ≤ 2x + 3 < 9
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Your Turn Solve each compound inequality and graph the solution.
-2 < x - 3 < 5 < 3x + 2 ≤ 8
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Solving Compound Inequalities Involving OR
The graph of a compound inequality involving OR is the union, or the combined region, of the simple inequality graphs.
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Examples of OR Inequalities
Solve each compound inequality and graph the solution. -4 + x > 1 OR -4 + x < -3 B. 2x ≤ 6 OR 3x > 12
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Your Turn Solve each compound inequality and graph the solution.
x - 5 ≥ -2 OR x -5 ≤ -6 2. 4x -1 < 15 OR 8x ≥ 48
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Creating Compound Inequalities from Graphs
Write the compound inequality shown by each graph. B.
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Your Turn Write the compound inequality shown by each graph. 2.
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Let’s Try a Word Problem
But we’ll pick one or two from the homework :) HW: 2.5 p. 88 #3-22 all, plus 25 Quiz next Thursday and Friday
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