Question

Which ordered pair is not in the solution set of

y > 2x + 1

A: ( 1 , 4 )

B: ( 1 , 6 )

C: ( 3 , 8 )

D: ( 2 , 5 ) ​

Answer 1

the pair that is not a solution is d

Explanation:

5 > 2(2) + 1

5 > 4 + 1

5 > 5

it is equal to and not greater than

Answer 2

Option D is the ordered pair that is not in the solution set of

y > 2x + 1

Explanation:

The given inequality is expressed as

y > 2x + 1

To determine which ordered pair is not in the solution set of the inequality, we would substitute the values of x and y in each ordered pair into the inequality. It becomes

A) 4 > 2 × 1 + 1

4 > 3

It is a solution

B) 6 > 2 × 1 + 1

6 > 3

It is a solution

C) 8 > 2 × 3 + 1

8 > 7

It is a solution

D) 5 > 2 × 2 + 1

5 > 5

It is not a solution because 5 = 5