49.8k views
7 votes
Which of the following is a solution to this inequality?
y > 1/2x + 2​

Which of the following is a solution to this inequality? y > 1/2x + 2​-example-1

1 Answer

12 votes

Answer:

We conclude that only (1, 4) satisfies the inequality.

Thus, (1, 4) is a solution to this inequality.

Hence, option A is correct.

Explanation:

Given the inequality

y > 1/2x + 2​

FOR (1, 4)

y > 1/2x + 2​

substituting x = 1, and y = 4

4 > 1/2(1) + 2

4 > 1/2+2

4 > 5/2

TRUE!

Reason: It is true because 4 is indeed greater than 5/2

Thus, (1, 4) satisfies the inequality.

Therefore, (1, 4) is a solution to this inequality.

FOR (-1, 1)

y > 1/2x + 2​

substituting x = -1, and y = 1

1 > 1/2(-1) + 2​

1 > -1/2+2

1 > 3/2

FALSE!

Reason: It is false because 1 can not be greater than 3/2

Thus, (-1, 1) DOES NOT satisfy the inequality.

FOR (2, 3)

y > 1/2x + 2​

substituting x = 2, and y = 3

3 > 1/2(2) +2

3 > 1+2

3 > 3

FALSE!

Reason: It is false because 3 can not be greater than 3.

Thus, (2, 3) DOES NOT satisfy the inequality.

FOR (0, 2)

y > 1/2x + 2​

substituting x = 0, and y = 2

2 > 1/2(0) +2

2 > 0+2

2 > 2

FALSE!

Reason: It is false because 2 can not be greater than 2.

Thus, (0, 2) DOES NOT satisfy the inequality.

Therefore, we conclude that only (1, 4) satisfies the inequality.

Thus, (1, 4) is a solution to this inequality.

Hence, option A is correct.

User Anton Korobeynikov
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories