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

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:

$(4ft)(\frac{12in}{1ft})=48 in$

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: $g\geq48+8\\g\geq56$