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16 Sep 2014, 00:35
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If \(x^2-100 \lt 300\), \(x\) can take how many integer values?
A. 42
B. 39
C. 38
D. 37
E. 19
A. 42
B. 39
C. 38
D. 37
E. 19
16 Sep 2014, 00:35
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Official Solution:
If \(x^2-100 \lt 300\), \(x\) can take how many integer values?
A. 42
B. 39
C. 38
D. 37
E. 19
Given: \(x^2-100 \lt 300\);
\(x^2 \lt 400\);
\(|x| \lt 20\);
\(-20 \lt x \lt 20\), so \(x\) can take 39 integer values from -19 to 19, inclusive (19 negative integers, 0, and 19 positive integers).
Answer: B
If \(x^2-100 \lt 300\), \(x\) can take how many integer values?
A. 42
B. 39
C. 38
D. 37
E. 19
Given: \(x^2-100 \lt 300\);
\(x^2 \lt 400\);
\(|x| \lt 20\);
\(-20 \lt x \lt 20\), so \(x\) can take 39 integer values from -19 to 19, inclusive (19 negative integers, 0, and 19 positive integers).
Answer: B
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