Answered

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Determine which point is a solution of the linear inequality.9x + 3y =< 6

Determine Which Point Is A Solution Of The Linear Inequality9x 3y Lt 6 class=

Sagot :

ANSWER :

The answer is (1, -1)

EXPLANATION :

From the problem, we have the inequality :

[tex]9x+3y\le6[/tex]

We need to test the options and determine which point satisfies the inequality.

[tex]\begin{gathered} \text{For (1, -1)} \\ 9(1)+3(-1)\le6 \\ 9-3\le6 \\ 6\le6 \\ \text{True!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (1, 3)} \\ 9(1)+3(3)\le6 \\ 9+6\le6 \\ 15\le6 \\ \text{False!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (2, -2)} \\ 9(2)+3(-2)\le6 \\ 18-6\le6 \\ 12\le6 \\ \text{False!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (1, 1)} \\ 9(1)+3(1)\le6 \\ 9+3\le6 \\ 12\le6 \\ \text{False!} \end{gathered}[/tex]

The only option that satisfies the inequality is Option 1.

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