Unit 7 Lesson 3: Two-Step Equations and Inequalities

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Unit 7 Lesson 3: Two-Step Equations and Inequalities. Lesson 3: Two-Step Inequalities. Cornell Notes Header. Introduction Problem.

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Unit 7 Lesson 3: Two-Step Equations and Inequalities

Lesson 3: Two-Step Inequalities

Introduction Problem
• Mr. Smith wants to take his family, a wife and three children, to the movies. He has at most \$62. Seven dollars will be spent buying the family a snack for the movie, and the rest will be spent on movie tickets. What amount can Mr. Smith pay for a movie ticket?
Solving & Graphing Two-Step Inequalities

- 7 - 7

5t ≤ 55

__ ___

5 5

t ≤ 11

Problem
• Mr. Smith wants to take his family, a wife and three children, to the movies. He has at most \$62. Seven dollars will be spent buying the family a snack for the movie, and the rest will be spent on movie tickets. What amount can Mr. Smith pay for a movie ticket?
• t ≤ 11 Mr. Smith can pay no more than \$11 dollars per ticket.
• Can Mr. Smith take the family to the movies?
• We cannot determine the answer with the information given.
Solving and Graphing Two-Step Inequalities Group Problem
• x/2 - 6 > 10

+ 6 + 6 Add 6 to both sides to undo subtracting 6.

x/2 > 16

2 ∙x/2 > 16 · 2 Multiply both sides by 2 to undo dividing by 2.

x > 32

• Check: 34/2 – 6 > 10 Choose a value larger than 32 to check.

17 – 6 > 10

11 > 10

Summary
• Summarize your notes in one to two sentences using the words two-step inequality and graphing.