Question 56
Let $a, b$ be real numbers such that $a+b \gt 2$. Prove that the system of inequalities
$$
(a-1)x + b \lt x^2 \lt ax + (b-1)
$$
has infinitely many real solutions $x$.
$$
(a-1)x + b \lt x^2 \lt ax + (b-1)
$$
has infinitely many real solutions $x$.