Question

Which of these ordered pairs is a solution to the linear inequality 2y-3 _< -10

Answer 1

Given expression -

$2y - 3 \leqslant - 10$

Adding 3 to both sides ,

$2y - 3 + 3 \leqslant - 10 + 3 \\ 2y \: \leqslant \: - 7$

Dividing by 2 on both sides ,

$\frac{2y}{2} \leqslant \frac{ - 7}{2} \\ \\ y \leqslant \frac{ - 7}{2} \: \: \: \: \: \: \: Ans.$