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

## segment of finite length

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-> 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.