Lesson 3-2 - Math Slide Show

Lesson 3-2Objective- To solve and graph simpleinequalities involving addition/subtraction.EquationsSolve and graph.InequalitiesSolve and graph.x + 2 = 5−2 − 2x + 2 ≤ 5−2 − 2x = 3x ≤ 3-3 -2 -1 0 1 2 3 4One Solution-3 -2 -1 0 1 2 3 4Infinite SolutionsAddition Property of InequalityIf x − c ≤ b, then x − c + c ≤ b + c.x− 9>14+ 9 + 9x > 23Subtraction Property of InequalityIf x + c ≤ b, then x + c −c ≤b −c.x+ 3 −13-13 0 0 12Solve the inequalities below and graph.5) x−5< −77) −6≤x−2+ 5 + 5+ 2 + 2x y+8−4 −4−8 −8x ≥ 1− 3>yy 200 20 0 5910) y+ 7≤−1112) 36 > x + 12−7 − 7−12 −12y≤ −1824 > xx < 24-18 0 0 24Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2010

Lesson 3-2 (cont.)Solve the inequalities below and graph.13) 3x + 3 − 2x > 68 14) 10 ≤ 7m + 4 −6mx+ 3>68 10 ≤ m + 4−3 −3−4 −4x > 65 6≤m0 65m ≥60 6Solve the inequalities below and graph.15) 5(x− 4) − 2(2x+ 7) < 205x − 20 − 4x −14< 20x − 34 < 20+ 34 + 34x < 540 54Mary needs at least $320 for a new bike. She hasalready saved $180. Write and solve a variableinequality to determine how much more moneyMary needs.Let x = additional money Mary needs180 + x ≥ 320−180 −180x ≥ 140Mary needsat least $140Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2010