Question

Is (-1,4) a solution of the inequality y<2x+5?

Answer 1

After substituting the x-value of the point (-1,4) into the inequality y < 2x + 5, we find that the inequality is y < 3. Since 4 is not less than 3, the point (-1,4) is not a solution to the inequality.

Step-by-step explanation:

To determine if the point (-1,4) is a solution to the inequality y < 2x + 5, we need to substitute the x-value of the point into the inequality and see if the resulting y-value is less than the y-value of the point (-1,4). If we substitute x with -1 into the inequality, we get:

y < 2(-1) + 5

y < -2 + 5

y < 3

Since the y-value of the point is 4, and 4 is not less than 3, the point (-1,4) is not a solution to the inequality y < 2x + 5.

Answer 2

Let's plug x= -1, y= 4 in the inequation, we have:
4< 2*(-1)+5
⇒ 4< -2+5
⇒ 4< 3 (false)

Therefore, (-1,4) is not a solution of the inequation y<2x+5~