A number, y, is greater than 2 less than four times a number, x. write a inequality that follows this statement
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)
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).
To write the inequality that corresponds to the given statement, let's break it down:
The first part of the statement says, "A number, y." This means that we can represent the number as "y."
The second part of the statement says, "is greater than." This indicates that there will be a "greater than" symbol in the inequality.
The third part of the statement says, "2 less than four times a number, x." This can be translated into the expression "4x - 2," where "x" represents the number.
Putting it all together, we can write the inequality as:
y > 4x - 2