Determine whether each ordered pair is a solution to the inequality y < x − 3.

ⓐ (0, 1) ⓑ (−2, −4)

ⓒ (5, 2) ⓓ (3, −1) ⓔ (−1, −5)

We have given inequality y < x − 3 and order pair is (0, 1).

The solution of a linear inequality in two variables, like Ax + By > C, is anordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

We have given inequality is y < x - 3.

Substituting the given ordered pair,

(0, 1)

Substituting 1 for y and 0 for x,

1 < 0 - 3

=> 1 < - 3

1 is not les than -3 so the given order pair (0, 1) is not the solution of the inequality.

Hence, order pair (0, 1) is not the solution of the given inequality y < x - 3.

We have given inequality is y < x - 3.

Substituting the given ordered pair,

(-2, -4)

Substituting -4 for y and -2 for x,

-4 < -2 - 3

=> -4 < -5

-4 is not less than -5 so ordered pair (-2, - 4) is not the solution of the given inequality.

Hence, (-2, - 4) is not the solution of the given inequality.

We have given inequality is y < x - 3.

Substituting the given ordered pair,

(5, 2)

Substituting 2 for y and 5 for x,

2 < 5 - 3

2 < 2

2 is not less than 2 it is same so (5, 2) is not the solution of the given inequality.

Hence, (5, 2) is not the solution of the given inequality y < x - 3.

We have given inequality is y < x - 3.

Substituting the given ordered pair,

(3, -1)

Substituting -1 for y and 3 for x ,

-1 < 3 - 3

=> -1 < 0

Yes, -1 less than 0 so ordered pair (3, -1) is the solution of given inequality.

Hence, (3, -1) is the solution of given inequality y < x - 3.

We have given inequality is y < x - 3.

Substituting the given ordered pair,

(-1, -5)

Substituting -5 for y and -1 for x,

-5 < -1 - 3

=> -5 < -4

Yes, -5 is less than -4 it means order pair (-1, -5) is the solution of the given inequality.

Hence, (-1, -5) is the solution of the given inequality y < x - 3.