Which of the following is correct for the equation $\dfrac{1}{x - 3} - \dfrac{1}{x + 5}$ = 1 ?

1. x ≠ 3 and x = -5

2. x = 3 and x ≠ -5

3. x ≠ 3 and x ≠ -5

4. x > 3 and x < 5

Given,

$\dfrac{1}{x - 3} - \dfrac{1}{x + 5}$ = 1

So, in above equation.

x - 3 and x + 5 cannot be equal to zero.

⇒ x - 3 ≠ 0

⇒ x ≠ 3

⇒ x + 5 ≠ 0

⇒ x ≠ -5.

Hence, Option 3 is the correct option.