(4,10)

9x-y is greater then or equal to 23
5x+0.2y is greater then or equal to 20

To determine if the point (4,10) satisfies the inequalities:

1. For the inequality 9x - y ≥ 23:
- Substitute x = 4 and y = 10 into the inequality:
9(4) - 10 ≥ 23
36 - 10 ≥ 23
26 ≥ 23
- Since 26 is greater than or equal to 23, the point (4,10) satisfies this inequality.

2. For the inequality 5x + 0.2y ≥ 20:
- Substitute x = 4 and y = 10 into the inequality:
5(4) + 0.2(10) ≥ 20
20 + 2 ≥ 20
22 ≥ 20
- Since 22 is greater than or equal to 20, the point (4,10) also satisfies this inequality.

Therefore, the point (4,10) satisfies both inequalities.