Question

a journalist is assigned to write a story that is 1,200 words long. to fit in the publication’s available space, the story’s leng than 75 words. which word counts would be accepted by the journalist’s publication? word counts 1 100 1 125 1 260 1 290 1 300

Explanation:

Step1: Define acceptable range

The target length is 1200 words, with a maximum deviation of 75 words.
Lower bound: $1200 - 75 = 1125$
Upper bound: $1200 + 75 = 1275$
Acceptable range: $1125 \leq \text{word count} \leq 1275$

Step2: Check each word count

• 1100: $1100 < 1125$ → Rejected
• 1125: $1125 = 1125$ → Accepted
• 1260: $1125 < 1260 < 1275$ → Accepted
• 1290: $1290 > 1275$ → Rejected
• 1300: $1300 > 1275$ → Rejected

Answer:

1125, 1260