Question

Grace is at least 8 inches taller than her younger sister. Her sister is 4 feet tall. Write and solve an inequality that shows how tall g Grace can be.

Answer 1

Grace can be any height greater than 56 inches.

Step-by-step explanation:

We are given that Grace is at least 8 inches taller than her younger sister, who is 4 feet tall. To find the maximum height of Grace, we need to convert the height of her sister into inches. Since 1 foot is equal to 12 inches, 4 feet is equal to 4 x 12 = 48 inches. Therefore, the inequality representing the maximum height of Grace can be written as:

Grace's height > 48 + 8

Simplifying, we have:

Grace's height > 56 inches

So, Grace can be any height greater than 56 inches.

Answer 2

To solve this problem you must apply the proccedure shown below:

1. The first thing you need to do is the conversion of her sister height from feet to inches, as following:

`(4ft)((12in)/(1ft))=48 in`

2. The problem says that Grace is at least 8 inches taller than her sister, therefore, you can write the following inequality:

`g\geq48+8`

3. To solve it you only need to make the addition:

`g\geq56`

Therefore the answer is:
`g\geq48+8\\g\geq56`