The graphical solution set of the system of inequations $2 x+3 y \leq 6, x+4 y \geq 4, x \geq 0, y \geq 0$…

The graphical solution set of the system of inequations $2 x+3 y \leq 6, x+4 y \geq 4, x \geq 0, y \geq 0$ is given by
  1. Fig. 1
  2. Fig. 3
  3. Fig. 2
  4. Fig. 4

Solution

Feasible region lies on origin side of $2 x+3 y=6$ and non-origin side of $x+4 y=4$, in $1^{\text {st }}$ quadrant. $\therefore \quad$ Option (A) is the correct answer.

Asked in: MHT CET 2024 (15 May Shift 2)

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