If A and B are finite sets such that |A U B| = 15, |A| = 10, |B| = 12, then find |A ∩ B|.

चूंकि $-3.5 < 0$, हम $f(x) = x^2 + x - 5$ का उपयोग करते हैं।

$$f(-3.5) = (-3.5)^2 + (-3.5) - 5 \\ f(-3.5) = 12.25 - 3.5 - 5 \\ f(-3.5) = 8.75 - 5 \\ f(-3.5) = 3.75$$

चूंकि $-2 < 0$, हम $f(x) = x^2 + x - 5$ का उपयोग करते हैं।

$$f(-2) = (-2)^2 + (-2) - 5 \\ f(-2) = 4 - 2 - 5 \\ f(-2) = 2 - 5 \\ f(-2) = -3$$

चूंकि $-1 < 0$, हम $f(x) = x^2 + x - 5$ का उपयोग करते हैं।

$$f(-1) = (-1)^2 + (-1) - 5 \\ f(-1) = 1 - 1 - 5 \\ f(-1) = 0 - 5 \\ f(-1) = -5$$

चूंकि $0 \ge 0$, हम $f(x) = x^2 + 3x - 2$ का उपयोग करते हैं।

$$f(0) = (0)^2 + 3(0) - 2 \\ f(0) = 0 + 0 - 2 \\ f(0) = -2$$

अतः, फलन के मान हैं:
$f(-3.5) = 3.75$
$f(-2) = -3$
$f(-1) = -5$
$f(0) = -2$

$$f(-3.5) = 3.75, f(-2) = -3, f(-1) = -5, f(0) = -2$$