Why does the equation $\mid x\mid =-3$ have no real solutions?

Because $x$ would need to be imaginary, and the absolute value is only defined for real numbers

Because absolute value represents distance, which cannot be negative, no real $x$ has distance $-3$ from zero

Because $x$ must be zero in absolute value equations when the right-hand side of the equation is negative

Because the absolute value of any number is greater than that number, $x$ cannot be $-3$