Question
A number, y, is greater than 2 less than four times a number, x. write a inequality that follows this statement
Answers
GPT 3.5
y > 4x - 2
Which ordered pairs are in the solution set of 5x+y≥1?
The graph of 5x+y=1 is shown on the grid.
Which ordered pairs are in the solution set of 5x+y≥1?
(1,-7)
(7,2)
(9,-4)
(0,0)
(-1,6)
The graph of 5x+y=1 is shown on the grid.
Which ordered pairs are in the solution set of 5x+y≥1?
(1,-7)
(7,2)
(9,-4)
(0,0)
(-1,6)
GPT 3.5
To determine which ordered pairs are in the solution set of 5x+y≥1, you need to substitute the values of x and y into the inequality and see if the inequality holds true.
For (1, -7):
5(1)+(-7) = 5-7 = -2, which is not greater than or equal to 1.
Therefore, (1, -7) is not in the solution set.
For (7, 2):
5(7)+(2) = 35+2 = 37, which is greater than or equal to 1.
Therefore, (7, 2) is in the solution set.
For (9, -4):
5(9)+(-4) = 45-4 = 41, which is greater than or equal to 1.
Therefore, (9, -4) is in the solution set.
For (0, 0):
5(0)+(0) = 0+0 = 0, which is not greater than or equal to 1.
Therefore, (0, 0) is not in the solution set.
For (-1, 6):
5(-1)+(6) = -5+6 = 1, which is equal to 1.
Therefore, (-1, 6) is in the solution set.
In summary, the ordered pairs that are in the solution set of 5x+y≥1 are (7, 2) and (-1, 6).
For (1, -7):
5(1)+(-7) = 5-7 = -2, which is not greater than or equal to 1.
Therefore, (1, -7) is not in the solution set.
For (7, 2):
5(7)+(2) = 35+2 = 37, which is greater than or equal to 1.
Therefore, (7, 2) is in the solution set.
For (9, -4):
5(9)+(-4) = 45-4 = 41, which is greater than or equal to 1.
Therefore, (9, -4) is in the solution set.
For (0, 0):
5(0)+(0) = 0+0 = 0, which is not greater than or equal to 1.
Therefore, (0, 0) is not in the solution set.
For (-1, 6):
5(-1)+(6) = -5+6 = 1, which is equal to 1.
Therefore, (-1, 6) is in the solution set.
In summary, the ordered pairs that are in the solution set of 5x+y≥1 are (7, 2) and (-1, 6).