Question

Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.

Let d represent the distance Jane drove.

Which inequality represents this situation?


−6.3 + d > 4 1/2

−6.3 + d > −4 1/2

−6.3 + d ≥ −4 1/2

−6.3 + d ≥ 4 1/2

Answer 1

−6.3 + d > 4 1/2

Explanation:

She starts 6.3 miles west of her home. This is denoted by the (-).

The store is 4.5 miles east of her home. East would be denoted by a (+).

The store is more than 4.5 miles east of her home meaning that it would never be exactly 4.5 miles from her home. This would be denoted by a (>).

Therefore the answer is: −6.3 + d > 4 1/2