Question

Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that

represents this situation.

a.) d-22 28; d 50

b.) d - 22 > 28; d > 50

c.) d + 22 s 28; d s 72

d.) d + 22 28; d 272

Answer 1

Hi there!

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I believe your answer is:

d – 22 ≥ 28

d ≥ 50

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Here’s why:

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`\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}`

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`\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left.`

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`\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}`

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`\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}`

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Hope this helps you. I apologize if it’s incorrect.

Answer 2

Your answer she be letter b