$\int \limits_0^a x dx < a+4$ then

Question

$$\begin {array} {1 1} (a)\;0 \leq a \leq 4 \\ (b)\;a \leq -2\;or\;  \geq 0 \geq 4 \\ (c)\;-2 \leq a \leq 0 \\ (d)\;-2 \leq a \leq 4 \end {array}$$