Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality
[tex]3 > -5(0)+3\\3>0+3\\3>3[/tex]
Putting (1,0) in inequality
[tex]0>-5(1)+3\\0>-5+3\\0>-2[/tex]
Putting (-3,1) in inequality
[tex]1 > -5(-3)+1\\1> 15+1\\1>16[/tex]
Putting (-1,-2) in inequality
[tex]-2>-5(-1)+3\\-2>5+3\\-2>8[/tex]
The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer
