Answer:
371 + 18x ≥ 566
Step-by-step explanation:
Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?
We know:
current # of glasses= 371
glasses per set= 18
glasses needed= 566
# of sets= x
At least means she can also have more than 566 glasses, so we will use the ≥ ("greater than or equal to") symbol:
glasses per set⋅# of sets+current # of glasses≥glasses needed
18x+371 ≥ 566
or, by the commutative property of addition,
371+18x ≥ 566
Inequality #2
We could also switch the two sides of the inequality, but we have to be careful which symbol we use. At least means the number of glasses needed should always be less than or equal to the glasses the restaurant has, including the glasses they already had, plus the sets Sofia bought.
Inequality #3
566 ≤ 18x+371
or
566≤ 371+18x
Inequality #4
