Question

Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.
A.
d+12 51; d 75

B.
d + 12 51; d 75

C.
d-12 51; d 63

D.
d-12 > 51; d > 63

Answer 1

Initial amount =  d  dollars
Amount spent = $12

Because the amount left is at least $51, therefore
d - 12 ≥ 51
Add 12 to each side.
d ≥ 51 + 12
d ≥ 63

Note: The amount left is at least $51. Therefore the amount left should be $51, or greater than $51.

Answer:
d - 12 ≥ 51
d ≥ 63