Question

Which of the following points is a solution of y ≤ -|x| - 1?

1) (0, 0)
2) (1, -1)
3) (-1, -3)

Answer 1

Step-by-step explanation:

Only at (-1,-3) inequality satisfies

$y \leqslant - |x| - 1 \\ at \: ( - 1. - 3) \\ - 3 \leqslant - | - 1| - 1 \\ - 3 \leqslant - 1 - 1 \\ - 3 \leqslant - 2 \\ \\ multiply \: \: ( - 1) \: \: both \: \: sides \\ \\ 3 \geqslant 2 \\ which \: \: is \: \: stisfie \: \: the \: \: inequality$