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Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequality x-12{is less or equal to}65 represents the situation. What will be included in the solution set in the context of the problem?

A: all positive and negative values less than 77
B: all positive and negative values less than or equal to 77
C: all positive values less than 77
D: all positive values less than or equal to 77

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bubbles12384058
Your answer would be D.
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Answer:

Correct option is:

D: all positive values less than or equal to 77

Step-by-step explanation:

Geraldo has a coupon for $12 off the total bill at a local restaurant.

Geraldo does not want to spend more than $65.

Let x be the amount that Geraldo spends

Clearly x>0

then, x-12≤65

Adding 12 on both sides, we get

x-12+12≤65+12

⇒  x≤77

Hence, Solution set contains {x|0<x≤77}

So, Correct option is:

D: all positive values less than or equal to 77