Question 1

Which coordinate is a solution to the system of inequalities

Question 2

$\begin{gathered} x+y>1 \\ 4x-y<5 \\ \\ Proving\text{ points} \\ P1(1,2) \\ x+y\gt1 \\ 1+2\gt1 \\ 3\gt1,\text{ true} \\ 4x-y\lt5 \\ 4(1)-2\lt5 \\ 4-2\lt5 \\ 2\lt5,\text{ true} \\ Hence\text{ the point \lparen1,2\rparen is a solution of the system} \\ \\ P2(2,1) \\ x+y\gt1 \\ 2+1\gt1 \\ 3\gt1,\text{ true} \\ 4x-y\lt5 \\ 4(2)-1\lt5 \\ 8-1\lt5 \\ 7\lt5,\text{ false} \\ Hence\text{ the point \lparen2,1\rparen is not a solution of the system} \\ \\ P3(-1,2) \\ x+y\gt1 \\ -1+2\gt1 \\ 1\gt1,\text{ false} \\ 4x-y\lt5 \\ 4(-1)-2\lt5 \\ -4-2<5 \\ -6<5,\text{ true} \\ Hence\text{ the point \lparen-1,2\rparen is not a solution of the system} \\ \\ P4(-3,-2) \\ x+y\gt1 \\ -3-2\gt1 \\ -5\gt1,\text{ false} \\ 4x-y\lt5 \\ 4(-3)-(-2)\lt5 \\ -12+2<5 \\ -10<5,\text{ true} \\ Hence\text{ the point \lparen-3,-2\rparen is not a solution of the system} \\ Therefore \\ The\text{ point \lparen1,2\rparen is a solution of the system} \end{gathered}$

Which coordinate is a solution to the system of inequalities-example-2

Which coordinate is a solution to the system of inequalities-example-3

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