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.

Question

Mathematics

Rolando Bolton

1 January, 10:32

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.

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Answers (1)

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Javier Shaw · Answer 1

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.