Determine whether the ordered pair is a solution of the given system.
(2,10);
y > 3x + 1
y < 4x + 1
Is (2,10) a solution given to the system
To determine whether the ordered pair (2,10) is a solution to the system, we need to check if it satisfies both inequalities.
For the first inequality, y > 3x + 1, we can substitute in the values of x = 2 and y = 10:
10 > 3(2) + 1
10 > 6 + 1
10 > 7
Since the inequality 10 > 7 is true, (2,10) satisfies the first inequality.
For the second inequality, y < 4x + 1, we can substitute in the values of x = 2 and y = 10:
10 < 4(2) + 1
10 < 8 + 1
10 < 9
Since the inequality 10 < 9 is false, (2,10) does not satisfy the second inequality.
Therefore, (2,10) is not a solution to the given system of inequalities.