Show that the solution set of the following linear inequations is empt

1.	Show that the solution set of the following linear inequations is empty set: (i) x−2y≥0,2x−y≤−2,x≥0,y≥0 (ii) x+2y≤3,3x+4y≥12,y≥1,x≥0 and y≥0
Answer» Show that the solution set of the following linear inequations is empty set: (i) $x - 2 y \geq 0, 2 x - y \leq - 2, x \geq 0, y \geq 0$ (ii) $x + 2 y \leq 3, 3 x + 4 y \geq 12, y \geq 1, x \geq 0 a n d y \geq 0$

Show that the solution set of the following linear inequations is empty set: (i) x−2y≥0,2x−y≤−2,x≥0,y≥0 (ii) x+2y≤3,3x+4y≥12,y≥1,x≥0 and y≥0

Answer»

Show that the solution set of the following linear inequations is empty set:

(i) $x - 2 y \geq 0, 2 x - y \leq - 2, x \geq 0, y \geq 0$

(ii) $x + 2 y \leq 3, 3 x + 4 y \geq 12, y \geq 1, x \geq 0 a n d y \geq 0$