Question

4х – 3y > 10 what point is a solution to the inequality

Answer 1

One way to know which point is the solution of the inequality is by replacing the x and Y values ​​of each ordered pair in the given inequality and seeing which results in the true proposition.

So, for the first ordered pair

`\begin{gathered} (0,0) \\ 4x-3y>10 \\ 4\cdot0-3\cdot0>10 \\ 0>10 \\ \text{False proposition} \end{gathered}`

For the second ordered pair

`\begin{gathered} (2,0) \\ 4x-3y>10 \\ 4\cdot2-3\cdot0>10 \\ 8>10 \\ \text{False proposition} \end{gathered}`

For the third ordered pair

`\begin{gathered} (-2,3) \\ 4x-3y>10 \\ 4\cdot-2-3\cdot3>10 \\ -8-9>10 \\ -17>10 \\ \text{False proposition} \end{gathered}`

For the fourth ordered pair

`\begin{gathered} (-2,3) \\ 4x-3y>10 \\ 4\cdot-2-3\cdot3>10 \\ -8-9>10 \\ -17>10 \\ \text{False proposition} \end{gathered}`

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