Algebra 1 Common Core Student Edition, Grade 8-9

G o t It? 1. W hat are th e solutions of th e inequality? C heck your solutions.

a. - 6 a-7 <17 b. -4 < 5 -3 « C. 5 0 > 0. 8 x + 3 0

You can ad a p t fam iliar form ulas to w rite inequalities. You use th e real-w orld situation
to d eterm in e w hich inequality sym bol to use.

Writing and Solving a Multi-Step Inequality

Geo m et r y In a community garden, you want to fence in a vegetable garden that
is adjacent to your friend's garden. You have at most 42 ft of fence. What are the
possible lengths of your garden?

Rel at e Since the fence will su rro u n d th e garden, you can use th e p erim e te r form ula

P = 2i + 2w.

twice th e pius twice th e isatmost th e am o u n t

length w idth of fence

Define Let € = the length of th e garden.

Write 2 i + 2(12) £ 42

2 € + 2(1 2) < 42

2 € + 24 < 42 Simplify.

2 € + 24 - 24 :£ 4 2 - 24 Subtract 24 from each side.

2 € < 18 Simplify.

Y<” Divide each side by 2.

€ :£ 9 Simplify.

The length of th e g arden m u st be 9 ft or less.

G o t It? 2. You w an t to m ake a rectangular b a n n e r th a t is 18 ft long. You have no

m ore th a n 48 ft of trim for th e banner. W hat are th e possible w idths of the

banner?

Po w erAlg eb ra.com Lesso n 3- 4 So lvin g M u lt i- St ep In eq u al i t i es^187