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

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

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

Hence, option A is correct.

Step-by-step 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.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb