Question 59810
x + 2y < - 12

3x - y > or equal to -2

To check if (-1,-5) is a solution we plug in these values in the given inequalities.

==> -1 + 2(-5) < -12 [considering the first inequality]
==> -1 - 10 < - 12
==> -11 < -12

This inequality is not true as -11 is > - 12

So (-1, -5) doesnot satisfy the first inequality.

3x - y > or equal to - 2
==> 3(-1) -(-5) > or equal to -2
==> -3 + 5 > or equal to -2
==> 2 > -2

This inequality is  true .

So (-1, -5) satisfies the second inequality.

Since one inequality does not hold good for the given values, we conclude that (-1, -5) is not a solution for the given system of inequalities.

Good Luck!!!