Question

1. Keisha needs to make at least 28 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 7 weeks.

2. If Keisha has to have the costumes complete in 10 weeks or fewer, how will our solution change?

For each question, write an inequality. Then, graph your solution.

Answer 1

1. Let n represents the number of weeks she needs to make at least 28 costumes,

Since, she can make 4 costumes each week,

`\implies n \geq (28)/(4)`

`\implies n \geq 7-----(1)`

i.e. In number line closed circle on 7 and shaded right from 7.

2. If the maximum time taken by her is 10 weeks,

⇒ n ≤ 10 ----(2),

From equation (1) and (2),

`7\leq n\leq 10`

I.e. closed circle on both 7 and 10 and shaded right from 7 and shaded left from 10.