Question

Which of these ordered pairs is a solution to the inequality

Answer 1

The answer is ( 15, 0 )

If we plug in points into the equation and then solve the equation this would give us the answer. For the points the first step is to know that a point is ( X, Y), this is the same letters in the equation y < x + 1. After this you plug in your points.
We then look at which way the arrow in the middle is pointing. Which ever one it is pointing at should be the lowest number. If the arrow is pointing at the highest number than the equation is false, but if it is pointing at the lowest number it is correct.

(X, Y )
( 15,0 )
Y< X + 1
0 < 15 + 1
0 < 16
Zero is less than 16, so this is right.

( X, Y )
( 0, 1 )
Y< X + 1
1 < 0 + 1
1 < 1
One is not less than one, so this is wrong.

( X, Y )
( -5, 0)
Y< X +1
0 < -5 + 1
0 < -4
Zero is less than negative four, so this is wrong.

( X, Y )
( -2, 5 )
Y < X + 1
5< -2 + 1
5 < -1
Five is not less than negative one, so this is wrong.

The only answer is ( 15, 0 )