SOLUTION: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the i

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Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Found 3 solutions by CPhill, ikleyn, timofer:
Answer by CPhill(1959)   (Show Source): You can put this solution on YOUR website!
Here's how to break down the inequalities:
**1. Inequality describing the possible retail value of items:**
Let 'x' represent the retail value of the items you buy. To use the coupon, the retail value must be $50 or more. So:
x ≥ 50
**2. Inequality describing the different amounts of money you can spend:**
Let 'y' represent the amount of money you actually spend after using the coupon. Since you have $60 and the coupon takes $10 off, the most you can spend is $60, and the least you can spend is $40 ($50 - $10).
y ≤ 60
y ≥ 40
Combining these, the inequality that describes the different amounts of money you can spend is:
40 ≤ y ≤ 60
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store.
Write and inequality that describes the possible retail value of the items you can buy if you use the coupon.
Write an inequality that describes the different amount of money you can spend if you use the coupon.
~~~~~~~~~~~~~~~~~~~~~~~~ 

The inequality for the retail value of items, which you can buy, 
having $60 in your pocket, when you use a coupon, is 

    50 <=  r <= 70. 


The inequality for the amount of money you can spend, having $60 in your pocket, 
when you use a coupon is 

    40 <=  y <= 60.

Solved.



Answer by timofer(104)   (Show Source): You can put this solution on YOUR website!
Merchandise can be chosen up to $70. No more than $70.
The coupon starts only at a minimum of merchandise worth $50.



"you" may only have $60, but can pick merchandise of greater retail value than 60 because you have the $10 coupon.
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