Question

determine which ordered pair makes the inequality true 6x - 2y ≥36

Answer 1

One way to solve the exercise is to replace x and y with the given ordered pair, operate and see which results in a true statement.

Option a.

$\begin{gathered} 6x-2y\ge36​ \\ x=-4 \\ y=3 \\ \text{ Replacing} \\ 6(-4)-2(3)\ge36​ \\ -24-6\ge36 \\ -30\ge36 \\ \text{ False proposition} \end{gathered}$

Option b.

$\begin{gathered} 6x-2y\ge36​ \\ x=4 \\ y=-2 \\ \text{ Replacing} \\ 6(4)-2(-2)\ge36​ \\ 24+4\ge36 \\ 28\ge36 \\ \text{ False proposition} \end{gathered}$

Option c.

$\begin{gathered} 6x-2y\ge36​ \\ x=5 \\ y=-3 \\ \text{ Replacing} \\ 6(5)-2(-3)\ge36​ \\ 30+6\ge36 \\ 36\ge36 \\ \text{ True proposition} \end{gathered}$

Option d.