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The temperature, t, in degrees Fahrenheit, in a certain city on a certain spring day satisfies the inequality |t - 34| < 40. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?
- a)74
- b)16
- c)0
- d)-6
- e)-8
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
The temperature, t, in degrees Fahrenheit, in a certain city on a cert...
One way to solve this problem is to substitute each of the answer choices for t in the inequality to determine which one does NOT work:
Answer choice A: |74 − 34| = |40| = 40; 40 ≤ 40, so eliminate answer choice A.
Answer choice B: |16 − 34| = |− 18| = 18; 18 ≤ 40, so eliminate answer choice B.
Answer choice C: |0 − 34| = |− 34| = 34; 34 ≤ 40, so eliminate answer choice C.
Answer choice D: |−6 − 34| = |−40| = 40; 40 ≤ 40, so eliminate answer choice D.
By the process of elimination, answer choice K must be correct: |−8 − 34| = |−42| = 42, which is NOT ≤ 40.
Answer choice A: |74 − 34| = |40| = 40; 40 ≤ 40, so eliminate answer choice A.
Answer choice B: |16 − 34| = |− 18| = 18; 18 ≤ 40, so eliminate answer choice B.
Answer choice C: |0 − 34| = |− 34| = 34; 34 ≤ 40, so eliminate answer choice C.
Answer choice D: |−6 − 34| = |−40| = 40; 40 ≤ 40, so eliminate answer choice D.
By the process of elimination, answer choice K must be correct: |−8 − 34| = |−42| = 42, which is NOT ≤ 40.
Most Upvoted Answer
The temperature, t, in degrees Fahrenheit, in a certain city on a cert...
To properly complete the inequality, we would need the rest of the information after the inequality symbol. Please provide the complete inequality.
Community Answer
The temperature, t, in degrees Fahrenheit, in a certain city on a cert...
One way to solve this problem is to substitute each of the answer choices for t in the inequality to determine which one does NOT work:
Answer choice A: |74 − 34| = |40| = 40; 40 ≤ 40, so eliminate answer choice A.
Answer choice B: |16 − 34| = |− 18| = 18; 18 ≤ 40, so eliminate answer choice B.
Answer choice C: |0 − 34| = |− 34| = 34; 34 ≤ 40, so eliminate answer choice C.
Answer choice D: |−6 − 34| = |−40| = 40; 40 ≤ 40, so eliminate answer choice D.
By the process of elimination, answer choice K must be correct: |−8 − 34| = |−42| = 42, which is NOT ≤ 40.
Answer choice A: |74 − 34| = |40| = 40; 40 ≤ 40, so eliminate answer choice A.
Answer choice B: |16 − 34| = |− 18| = 18; 18 ≤ 40, so eliminate answer choice B.
Answer choice C: |0 − 34| = |− 34| = 34; 34 ≤ 40, so eliminate answer choice C.
Answer choice D: |−6 − 34| = |−40| = 40; 40 ≤ 40, so eliminate answer choice D.
By the process of elimination, answer choice K must be correct: |−8 − 34| = |−42| = 42, which is NOT ≤ 40.
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The temperature, t, in degrees Fahrenheit, in a certain city on a certain spring day satisfies the inequality |t - 34| < 40. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?a)74b)16c)0d)-6e)-8Correct answer is option 'E'. Can you explain this answer?
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