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Explore applying inequalities to solve real-world problems using symbols like <, ≤, >, and ≥. Learn to graph, verify, and solve equations with x and y intercepts. Get ready for Chapter 6 with hands-on practice and preparation for the upcoming test!
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Welcome to Algebra 1A! What do YOU see?
Apply inequalities to real-world problems less than at most greater than at least fewer than no more than more than no less than
x ≤ 10 write the inequality x > 10 graph the inequality x ≤ 10 x/y intercepts x ≥ 10 solid/dashed x ≤ 10 shade x ≥ 10 answer the question, verify with graph x ≤ 10
≤ 25x + 35y ≤ 350 (0, 10) (14, 0) 25(4) + 35(4) ≤ 350 100 + 140 ≤ 350 240 ≤ 350 Yes!
≤ 15x + 10y ≤ 120 (0, 12) (8, 0) 15x + 10(8) ≤ 120 15x + 80 ≤ 120 15x ≤ 40 x ≤ 2.67 2 large dogs
≤ 3x + .75y ≤ 30 (0, 40) (10, 0) 3(5) + .75(8) ≤ 30 15 + 6 ≤ 30 21 ≤ 30 Yes!
≥ 9x + 7y ≥ 300 9(11) + 7(16) ≥ 300 99 + 112 ≥ 300 211 ≥ 300 No!
Assignment: Chapter 6 review Chapter 6 Test: Wednesday!