Question

Determine whether the ordered pair is a solution of the given system. ​(3​,10​); y greater than 2xplus3 y less than 3xplus1 Is ​(3​,10​) a solution of the given​ system?

Answer 1

(3,10) is not a solution of the given system.

Explanation:

Testing the point (3,10) for the system of inequalities, where 3 is the x coordinate, and 10 the y-coordinate, then:

`\left\{\begin{matrix}y &> 2x+3 & \\y& <3x+1 & \end{matrix}\right.\\10>2(3)+3\Rightarrow 10>9 \: False\\10>3(3)+1\Rightarrow 10 >10 \: False`

So the point (3,10) is not a solution of the given system.