Question

Show which of the following points is part of the solution set for the inequality y ≤ (2/5x) + 1. (1 point)
(10, 4)
(10, 6)
(-10, 6)
(10,5.5)

Answer 1

Test each point in y ≤ (2/5)x + 1:

- (10, 4): RHS = (2/5)*10 + 1 = 5 → 4 ≤ 5 ✅
- (10, 6): RHS = 5 → 6 ≤ 5 ❌
- (-10, 6): RHS = (2/5)*(-10) + 1 = -3 → 6 ≤ -3 ❌
- (10, 5.5): RHS = 5 → 5.5 ≤ 5 ❌

Only (10, 4) is in the solution set.