If |x-3| > 10, which of the following could be the value of |x|?
Correct answer: D. 8
- A. 2
- B. 4
- C. 6
- D. 8
Explanation
Test each of the answer choices, making sure to include the negative possibilities. For example, the answer is not (A) because when x=2 or −2,∣x−3∣ is not greater than 10 . However, ∣x−3∣ is greater than 10 when x=−8.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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