Ch. 1-4 Solving Inequalities

Properties of Inequalities Transitive Property: –If a < b, and b < c, then a < c Addition Property: –If a < b, then a + c < b + c Subtraction Property: –If a < b, then a – c < b - c

Properties of Inequalities (cont.) Multiplication Property: –If a 0, then ac < bc. –If a bc. Division Property: –If a 0, then –If a < b and c < 0, then

Ex. 1: Solve -2x < 3(x – 5). Graph the solution -2x < 3(x - 5) -2x < 3x x -5x < -15 X > 3

Ex. 2: Solve 7x > 7(2 + x). Graph the solution. 7x > 7(2 + x) 7x > x -7x 0> 14; no solution

Ex. 3: A real estate agent earns a salary of $2000 per month plus 4% of the sales. Find the sales if the salesperson is to have a monthly income of at least $ (.04)x > x > 3000 x > 75,000

Ex. 4 Graph the solution of 2x – 1 4x – 9 2x – 1 < 3x x > 4x x -1 < x -4x -4x -3x > -9 x < 3

Ex. 5: Graph the solution of 3x + 9 < -3 or -2x + 1 < 5 3x + 9 < -3-2x + 1 < x < -12 x < x < 4 x > -2

Homework P. 29 # 1 – 13 odd, 22 – 24, 39 – 49 odd