The shaded figure given below is the solution set for the linear inequations. Choose the correct option

The shaded figure given below is the solution set for the linear inequations. Choose the correct option
  1. $3 x+4 y \geq 18 ; x-6 y \leq 3 ; 2 x+3 y \geq 3 ; 7 x-14 \leq 14 ; x \geq$ $0 ; \mathrm{y} \geq 0$
  2. $3 x+4 y \leq 18 ; x-6 y \leq 3 ; 2 x+3 y \leq 3 ;-7 x+14 \geq 14 ; x \geq$ $0 ; \mathrm{y} \geq 0$
  3. $\begin{aligned} & 3 x+4 y \leq 18 ; x-6 y \leq 3 ; 2 x+3 y \geq 3 ;-7 x+14 \leq 14 ; x \geq \\ & 0 ; y \geq 0 \end{aligned}$
  4. $3 \mathrm{x}+4 \mathrm{y} \geq-18 ; \mathrm{x}-6 \mathrm{y} \leq 3 ; 2 \mathrm{x}+3 \mathrm{y} \leq 3 ;-7 \mathrm{x}+14 \geq 14 ; \mathrm{x} \geq 0 ; \mathrm{y} \geq 0$

Solution

For the shaded region, inequalities are as follows, $x \geq 0, y \geq 0,2 x+3 y \geq 3, x-6 y \leq 3,3 x+4 y \leq 18,-7 x+14 y \leq 14$ Note: $-7 x+14 y=14 \Rightarrow 7 x-14=-14 \text { and } 0>-14$

Asked in: MHT CET 2021 (21 Sep Shift 1)

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