Answer:
The required absolute value inequality is: |x-350|≤35
The range of the number of tickers that may have been sold is 315≤x≤385
Step-by-step explanation:
Consider the provided information.
The organizers of a drama club wanted to sell 350 tickets to their show.
Let us consider the total number of ticket sales to the show is x.
The actual sales were no more then 35 tickers from this goal.
For no more then we use the inequality ≤. As the difference of actual sale and assumed sale should be less or equal to 35.
The above information can be written as:
|x-350|≤35
Thus, the required absolute value inequality is: |x-350|≤35
Now solve the inequality to find the range of the number of tickers that may have been sold.
|x-350|≤35
x-350≤35 or x-350≥-35
x≤35+350 or x≥-35+350
x≤385 or x≥315
315≤x≤385
Hence, the range of the number of tickers that may have been sold is 315≤x≤385
