which point on the axis satisfies the inequality y < x
a ) (0,1)
b ) (-1,0)
c ) (1,0)
d ) (0,0)
To determine which point satisfies the inequality y < x, you can simply plug the x and y values from each point into the inequality to test whether it holds true.
Let's go through each option:
a) (0,1)
Plugging into the inequality: 1 < 0
This is not true.
b) (-1,0)
Plugging into the inequality: 0 < -1
This is not true.
c) (1,0)
Plugging into the inequality: 0 < 1
This is true.
d) (0,0)
Plugging into the inequality: 0 < 0
This is not true because the inequality specifies "less than", not "less than or equal to".
Therefore, the point that satisfies the inequality y < x is:
c) (1,0)