Question

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

(10,6)

(-10,6)

(10,4)

(10,5.5)
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Answer 1

Check each point in y ≤ (2/5)x + 1.

For x = 10: RHS = (2/5)*10 + 1 = 4 + 1 = 5.
- (10,6): 6 ≤ 5? No.
- (10,4): 4 ≤ 5? Yes.
- (10,5.5): 5.5 ≤ 5? No.

For x = −10: RHS = (2/5)*(−10) + 1 = −4 + 1 = −3.
- (−10,6): 6 ≤ −3? No.

Only (10, 4) satisfies the inequality.