Let R be the interior region between the lines $$3x - y + 1 = 0$$ 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 :

A

$$(-3, -1) \cup \left(-\frac{1}{3}, 1\right)$$

B

$$(-3, 0) \cup \left(\frac{1}{3}, 1\right)$$

C

$$(-3, 0) \cup \left(\frac{2}{3}, 1\right)$$

D

$$(-3, -1) \cup \left(\frac{1}{3}, 1\right)$$