Do Now Solve each inequality. −3e − 10 ≤ −4 2. 3. 8c + 4 > 4(c − 3) 4. . −8 + 4a −12 > 2a + 10
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.
Review: Graphing an Inequality on a Number Line How would you graph: X < 7 2. 5 ≥ x
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.
Examples (these are for your notes) Solve each compound inequality and graph the solution. 4 ≤ x + 2 ≤ 8
Another Example Solve each compound inequality and graph the solution. B. -5 ≤ 2x + 3 < 9
Your Turn Solve each compound inequality and graph the solution. -2 < x - 3 < 5 2. -10 < 3x + 2 ≤ 8
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.
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
Your Turn Solve each compound inequality and graph the solution. x - 5 ≥ -2 OR x -5 ≤ -6 2. 4x -1 < 15 OR 8x ≥ 48
Creating Compound Inequalities from Graphs Write the compound inequality shown by each graph. B.
Your Turn Write the compound inequality shown by each graph. 2.
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