2. Which ordered pair is a solution of y > 5x - 2?
A. (1,5)
B. (2,7)
C. (3,13)
D. (4,4)
Is it A?
Let's check:
x=1; y=5
5>5*1-2
5>3
Correct.
To determine which ordered pair is a solution of y > 5x - 2, we need to substitute the x and y values from each pair into the inequality and check if it's true. Let's check the options:
A. (1,5)
Substituting the values, we have 5 > 5(1) - 2.
This simplifies to 5 > 3.
The inequality is true.
B. (2,7)
Substituting the values, we have 7 > 5(2) - 2.
This simplifies to 7 > 8.
The inequality is false.
C. (3,13)
Substituting the values, we have 13 > 5(3) - 2.
This simplifies to 13 > 13.
The inequality is false.
D. (4,4)
Substituting the values, we have 4 > 5(4) - 2.
This simplifies to 4 > 18.
The inequality is false.
Therefore, the ordered pair that is a solution of y > 5x - 2 is option A.
To determine which ordered pair is a solution of y > 5x - 2, we need to substitute the x and y values of each option into the inequality and check if the inequality holds true.
Let's start with option A, (1,5).
Substituting x = 1 and y = 5 into the inequality, we get:
5 > 5(1) - 2
5 > 5 - 2
5 > 3
Since 5 is greater than 3, the inequality holds true for option A.
Now let's check the other options:
For option B, (2,7):
7 > 5(2) - 2
7 > 10 - 2
7 > 8
Since 7 is not greater than 8, the inequality does not hold true for option B.
For option C, (3,13):
13 > 5(3) - 2
13 > 15 - 2
13 > 13
Since 13 is not greater than 13, the inequality does not hold true for option C.
For option D, (4,4):
4 > 5(4) - 2
4 > 20 - 2
4 > 18
Since 4 is not greater than 18, the inequality does not hold true for option D.
Therefore, the correct answer is A.