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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

- 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?

- 7 - 7

5t ≤ 55

__ ___

5 5

t ≤ 11

- 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.

- x/2 - 6 > 10
+ 6 + 6Add 6 to both sides to undo subtracting 6.

x/2 > 16

2 ∙x/2 > 16 · 2Multiply 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

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