Which of the following inequalities has a solution set that when graphed on the number line, is a single segment of finite length?
A. x^4 ≥ 1
B. x^3 ≤ 27
C. x^2 ≥ 16
D. 2 ≤ │x│ ≤ 5
E. 2 ≤ 3 x + 4 ≤ 6
OA E
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segment of finite length
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Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
A. x^4 ≥ 1
-> x≤-1, x≥1 (infinite)
B. x^3 ≤ 27
-> x≤3 (infinite)
C. x^2 ≥ 16
-> x≤-4, x≥4
D. 2 ≤ │x│ ≤ 5
-> -5≤x≤-2, 2≤x≤5 (2 segments)
E. 2 ≤ 3 x + 4 ≤ 6
-> -2/3≤x≤2/3 (single finite segment -> answer)
Answer = E.
-> x≤-1, x≥1 (infinite)
B. x^3 ≤ 27
-> x≤3 (infinite)
C. x^2 ≥ 16
-> x≤-4, x≥4
D. 2 ≤ │x│ ≤ 5
-> -5≤x≤-2, 2≤x≤5 (2 segments)
E. 2 ≤ 3 x + 4 ≤ 6
-> -2/3≤x≤2/3 (single finite segment -> answer)
Answer = E.
