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(C) To determine the correct system of linear inequalities for the shaded region,we analyze the boundary lines and the direction of the shaded area re

Vedclass · Accepted Answer

$3x + 4y \leq 18; x - 6y \leq 3; 2x + 3y \geq 3; -7x + 14y \leq 14; x \geq 0; y \geq 0$

Vedclass · Answer

(C) To determine the correct system of linear inequalities for the shaded region,we analyze the boundary lines and the direction of the shaded area relative to the origin $(0,0)$.$1$. The region is in the first quadrant,so $x \geq 0$ and $y \geq 0$.$2$. For the line $3x + 4y = 18$,the origin $(0,0)$ satisfies $3(0) + 4(0) = 0 $3$. For the line $x - 6y = 3$,the origin $(0,0)$ satisfies $0 - 0 = 0 $4$. For the line $2x + 3y = 3$,the origin $(0,0)$ satisfies $2(0) + 3(0) = 0 $5$. For the line $-7x + 14y = 14$,the origin $(0,0)$ satisfies $-7(0) + 14(0) = 0 Comparing these with the given options,option $C$ matches all these conditions.

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

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