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Let R be the interior region between the lines 3x – y + 1 and x + 2y – 5 = 0 containing the origin. The set of all values of a, for which the points (a 2 , a + 1) lie in R, is:

1. (–3, 0) ∪ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 3 2
2. (–3, –1) ∪ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 3 1
3. (–3, –1) ∪ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 3 1
4. (–3, 0) ∪ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 3 1

Correct answer: (–3, 0) ∪ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 3 1

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