The organizers of a drama club wanted to sell 350 tickets to their show. The actual sales were no more then 35 tickers from this goal. Write and solve an absolute-value inequality to find the range of the number of tickets that may have been sold.

Respuesta :

pmayl
We know that the real number of tickets sold was within 35 tickets of 350. 
"no more than 35" implies a difference less than or equal to 35, meaning we want to use ≤ in our equation.

The following absolute value inequality describes our ticket range:
|350 - x| ≤ 35

Plug a few numbers in for x to make sure this function makes sense:
x = 360
|-10| = 10 ≤ 35

x= 300
|50| > 35, does not comply with our inequality. 
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