Question

Which point is a solution for this system of inequalities?

y < 2x + 1

y > -x - 1


(1, 10)


(-5, 1)


(-12, 12)


(0, 0)

Answer 1

Using trial and error I tried (0,0) first and I got:
0 < 2(0) + 1
0 > -0-1
which gives
0 < 1 and
0 > -1.

Answer 2

??

Answer 3

You want to know which point is a solution for the inequalities. The easiest way would be to just substitute the options given into your inequalities. The easiest one to try is (0,0), i.e. x = 0 and y = 0.

Substituting into
y < 2x + 1

will give you:
0 < 2(0) + 1

Simplify that to get:
0 < 1
which is TRUE.

Now substitute into:
y > -x - 1

which gives:
0 > -0 -1, i.e.
0 > -1
which is also TRUE.

Therefore (0,0) is one solution for your inequalities. As they only need one solution your work is done.