Question

Question
Show which of the following points is part of the solution set for the inequality y ≤ 2/5x + 1
(1 point)
Responses

(10,6)
(10,6)

(-10,6)
(-10,6)

(10,4)
(10,4)

(10,5.5)
(10,5.5)

Answer 1

Test each point in y ≤ (2/5)x + 1:

- (10,6): RHS = (2/5)·10 + 1 = 4 + 1 = 5. Check 6 ≤ 5? No.
- (-10,6): RHS = (2/5)·(−10) + 1 = −4 + 1 = −3. Check 6 ≤ −3? No.
- (10,4): RHS = 5. Check 4 ≤ 5? Yes.
- (10,5.5): RHS = 5. Check 5.5 ≤ 5? No.

So only (10,4) is in the solution set.