Question

Which of the following points is a solution to the linear inequality y≤2x−4 4/5
?(1 point)
Responses

(−3,−10)
left parenthesis negative 3 comma negative 10 right parenthesis

(−17,−3812)
left parenthesis negative 17 comma negative 38 Start Fraction 1 over 2 End Fraction right parenthesis

(12,−3)
left parenthesis Start Fraction 1 over 2 End Fraction comma negative 3 right parenthesis

(12,−5)
left parenthesis Start Fraction 1 over 2 End Fraction comma negative 5 right parenthesis

Answer 1

First convert 4 4/5 = 24/5, so the inequality is y ≤ 2x − 24/5.

Test (1/2, −5):
2(1/2) − 24/5 = 1 − 24/5 = −19/5 = −3.8, and −5 ≤ −3.8 is true.

So (1/2, −5) is a solution.