Olivia was asked to determine whether (−1,5)

is a solution of the inequality y≤−2x+3
. Here is her work.

y≤−2x+3

−1≤−2(5)+3

−1≤−10+3
−1≤−7

Because −1≤−7
is a false statement, (−1,5)
is not a solution.

What statement is true?

Responses

Olivia is correct.
Olivia is correct.

Olivia is incorrect because she simplified the expression on the right side incorrectly.
Olivia is incorrect because she simplified the expression on the right side incorrectly.

Olivia is incorrect because she substituted the coordinates of the point incorrectly.
Olivia is incorrect because she substituted the coordinates of the point incorrectly.

Olivia is incorrect because −1≤−7
is a true statement.

1 answer

Olivia is incorrect because −1≤−7
is a true statement.