Is (1, 9) a solution to this system of inequalities? y ≤ 4x + 2 y < x + 1

Answer 1

To determine if (1,9) is a solution to the system of inequalities, we need to check if the coordinates satisfy both inequalities.

First, let's check if (1,9) satisfies the inequality y ≤ 4x + 2:

9 ≤ 4(1) + 2
9 ≤ 4 + 2
9 ≤ 6

Since 9 is not less than or equal to 6, (1,9) does not satisfy the inequality y ≤ 4x + 2.

Next, let's check if (1,9) satisfies the inequality y < x + 1:

9 < 1 + 1
9 < 2

Since 9 is not less than 2, (1,9) does not satisfy the inequality y < x + 1.

Therefore, (1,9) is not a solution to the system of inequalities.