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.

Answer 1

We can write:


`\sf~d - 12\ge51`

Spending $12 decreases the money in your bank account. "at least 51" means you have 51 or more, so we use the greater than or equal to sign.

Answer 2

Inequality is d - 12 ≤ 51 and d ≤ 63 .

Explanation:

As given

Suppose you had d dollars in your bank account.

You spent $12 but have at least $51 left.

Than the equation becomes

Total amount in bank - Spent money ≤ left money

Putting values in the above inequality

d - 12 ≤ 51

d ≤ 51 + 12

d ≤ 63

Therefore inequality is d - 12 ≤ 51 and d ≤ 63 .