Step-by-step explanation:
[tex] - 2x \leqslant 4 \: \: or \: \frac{x + 6}{2} > 4 \\ \\ \therefore \: x \leqslant \frac{4}{ - 2} \: \: or \: \: x + 6 > 8\\ \\ \therefore \: x \leqslant - 2 \: \: or \: \: x > 8 - 6\\ \\ \therefore \: x \leqslant - 2 \: \: or \: \: x > 2 \\ \\ \therefore \: \{x : x \leqslant - 2 \: \: or \: \: x > 2 \} \: \\ is \: the \: solution \: set \: of \: given \: inequality.[/tex]
