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{[-x+3y >= 9],[2x-y < -3],[x >= -1]:}

{x+3y92xy<3x1 \left\{\begin{array}{c}-x+3 y \geq 9 \\ 2 x-y<-3 \\ x \geq-1\end{array}\right.

Full solution

Q. {x+3y92xy<3x1 \left\{\begin{array}{c}-x+3 y \geq 9 \\ 2 x-y<-3 \\ x \geq-1\end{array}\right.
  1. Plug in x=1x=1 and y=1y=1: Let's plug in x=1x=1 and y=1y=1 into the first inequality x+3y9-x + 3y \geq 9. We get 1+3×19-1 + 3\times1 \geq 9.
  2. Calculate result: After calculating, we find that 1+3=2-1 + 3 = 2, which is not greater than or equal to 99. So, the point (1,1)(1,1) does not satisfy the first inequality.

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