segment of finite length

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segment of finite length

by sanju09 » Wed Apr 08, 2009 4:44 am
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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by moutar » Wed Apr 08, 2009 6:02 am
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.