Question

Which point is a solution to y < 4x + 5? (The < has a line underneath it btw, I don't know to put that under there,)



(0,-2)

(-6,4)

(-4,0)

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Answer 1

The < has a line underneath it

Answer 2

To determine which point is a solution to the inequality y < 4x + 5, you can substitute the x and y values from each point into the inequality and see if the inequality holds true.

Let's try each point:

1. Point (0, -2):
y < 4(0) + 5
-2 < 5
This is true, so the point (0, -2) is a solution to the inequality y < 4x + 5.

2. Point (-6, 4):
4 < 4(-6) + 5
4 < -24 + 5
4 < -19
This is not true, so the point (-6, 4) is not a solution to the inequality y < 4x + 5.

3. Point (-4, 0):
0 < 4(-4) + 5
0 < -16 + 5
0 < -11
This is not true, so the point (-4, 0) is not a solution to the inequality y < 4x + 5.

Therefore, the only point that is a solution to the inequality y < 4x + 5 is (0, -2).

Answer 3

The "<" symbol with a line underneath it indicates strict inequality. The points that satisfy the inequality y < 4x + 5 (with a strict inequality) are those where the line is below the curve y = 4x + 5.

For point (0, -2):
-2 < 4(0) + 5
-2 < 5
This is true, so (0, -2) satisfies the inequality y < 4x + 5.

For points (-6, 4) and (-4, 0):
These will not satisfy the inequality because they do not lie below the line y = 4x + 5.

Therefore, the only solution to the inequality y < 4x + 5 is the point (0, -2).