CAT (QA) PYQs

The largest real value of a for which the equation $|x + a| + |x - 1| = 2$ has an infinite number of solutions for $x$ is

The set of all real values of $x$ for which $(x^2 - |x + 9| + x) > 0$, is

The product of the distinct roots of $|x^2 − x − 6| = x + 2$ is