Question
Which of these are solutions to y≤ –4x+2?
Answers
GPT 3.5
1. (0, 0)
2. (1, -3)
3. (2, -6)
4. (3, -10)
Solutions to y ≤ -4x + 2 are the points that lie on or below the line represented by the inequality. By plugging in the x-coordinate of each point into the inequality and checking if the y-coordinate satisfies the inequality, we can identify the solutions:
1. y = -(4*0) + 2 = 2
2 ≤ 2 (True)
2. y = -(4*1) + 2 = -2
-2 ≤ -2 (True)
3. y = -(4*2) + 2 = -6
-6 ≤ -6 (True)
4. y = -(4*3) + 2 = -10
-10 ≤ -10 (True)
Therefore, all of the given points are solutions to y ≤ -4x + 2.
2. (1, -3)
3. (2, -6)
4. (3, -10)
Solutions to y ≤ -4x + 2 are the points that lie on or below the line represented by the inequality. By plugging in the x-coordinate of each point into the inequality and checking if the y-coordinate satisfies the inequality, we can identify the solutions:
1. y = -(4*0) + 2 = 2
2 ≤ 2 (True)
2. y = -(4*1) + 2 = -2
-2 ≤ -2 (True)
3. y = -(4*2) + 2 = -6
-6 ≤ -6 (True)
4. y = -(4*3) + 2 = -10
-10 ≤ -10 (True)
Therefore, all of the given points are solutions to y ≤ -4x + 2.