Question 305376
Which point is a solution of the inequality y>-3x+1?

A (2,-1)
B (0,0)
C (-12,4)
D (0,-1)

<pre><font size = 4 color = "indigo"><b>
Substitute them and see:

A: (2,-1)

Substitute x=2 and y= -1

{{{y>-3x+1}}}
{{{-1>-3(2)+1}}}
{{{-1>-6+1}}}
{{{-1>-5}}}

That is true.  

B: (0,0)

Substitute x=0 and y=0

{{{y>-3x+1}}}
{{{0>-3(0)+1}}}
{{{0>1}}}

That is false.

C: (-12,4)

Substitute x=-12 and y=4

{{{y>-3x+1}}}
{{{-12>-3(4)+1}}}
{{{-12>-12+1}}}
{{{-12>-11}}}

That is false.

D: (0,-1)

Substitute x=0 and y=0

{{{y>-3x+1}}}
{{{0>-3(-1)+1}}}
{{{0>4+1}}}
{{{0>5}}}

That is false. 

So the only one that is true is A:

Edwin</pre>