Question

Which point on the axis satisfies the inequality y < x?
answer (1,0)

but how to get the answer

Answer 1

To determine which point on the axis satisfies the inequality y < x, we can substitute the coordinates of each point on the axis and check if the inequality holds.

Let's examine the points on the x-axis: (0,0), (1,0), (2,0), etc.

1. Substitute the coordinates of the first point (0,0) into the inequality: 0 < 0.
The inequality is not true for this point.

2. Substitute the coordinates of the second point (1,0) into the inequality: 0 < 1.
The inequality is true for this point.

Based on this analysis, the point (1,0) on the axis satisfies the inequality y < x.