1. Algebra 1 Lesson 4-4 Solve 5 + 4b < 21. 5 + 4b – 5 < 21 – 5Subtract 5 from each side. 4b < 16Simplify. b < 4Simplify. < Divide each side by 4. 4b44b4 16 4 Check: 5 + 4b = 21Check the computation. 5 + 4b < 21Check the direction of the inequality. 5 + 4(3) < 21Substitute 3 for b. 5 + 4(4) 21Substitute 4 for b. 21 = 21 17 < 21 Solving Multi-Step Inequalities Additional Examples

2. Algebra 1 Lesson 4-4 The band is making a rectangular banner that is 20 feet long with trim around the edges. What are the possible widths the banner can be if there is no more than 48 feet of trim? twice the the length lengthof trim Relate:plus twice the width can be no more than Write:2(20) + 2w 48 < Solving Multi-Step Inequalities Additional Examples

3. Algebra 1 Lesson 4-4 (continued) The banner’s width must be 4 feet or less. 2(20) + 2w 48 < 40 + 2w 48Simplify 2(20). < 40 + 2w – 40 48 – 40Subtract 40 from each side. < 2w 8Simplify. < w 4Simplify. < Divide each side by 2. < 2w22w2 8282 Solving Multi-Step Inequalities Additional Examples

4. Algebra 1 Lesson 4-4 Solve 3x + 4(6 – x) < 2. 3x + 24 – 4x < 2Use the Distributive Property. –x + 24 < 2Combine like terms. –x + 24 – 24 < 2 – 24Subtract 24 from each side. –x < –22Simplify. x > 22Simplify. > Divide each side by –1. Reverse the inequality symbol. –x –1 –22 –1 Solving Multi-Step Inequalities Additional Examples

5. Algebra 1 Solve 8z – 6 < 3z + 12. Lesson 4-4 8z – 6 – 3z < 3z + 12 – 3zSubtract 3z from each side. 5z – 6 < 12Combine like terms. 5z – 6 + 6 < 12 + 6Add 6 to each side. 5z < 18Simplify. < Divide each side by 5. 5z55z5 18 5 z < 3Simplify. 3535 Solving Multi-Step Inequalities Additional Examples

6. Algebra 1 Lesson 4-4 Solve 5(–3 + d) 3(3d – 2). < –15 – 4d + 15 –6 + 15Add 15 to each side. < –4d 9Simplify. < –15 + 5d – 9d 9d – 6 – 9dSubtract 9d from each side. < –15 – 4d –6Combine like terms. < –15 + 5d 9d – 6Use the Distributive Property. < Divide each side by –4. Reverse the inequality symbol. –4d –4 9 –4 > d –2Simplify. > 1414 Solving Multi-Step Inequalities Additional Examples