Show that set B - y-2y-1-3 and y - W is a singleton set-

B= { y:2y+1 lt;3 and y ∈ W } 2y+1 lt;3 ...(0.5 marks) ⇒ 2y+1 1 lt;3 1 (Subtracting 1 from both sides) ⇒ 2y lt;2 ...(0.5 marks) ⇒ y lt;2/2...(0 ...

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Property 3

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Question

Show that set $B = {y : 2 y + 1 < 3 a n d y \in W}$ is a singleton set.

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

B = {y : 2 y + 1 < 3 a n d y \in W}

B = {y : 2 y + 1 < 3 a n d y \in W}

B = {y : 2 y + 1 < 3 a n d y \in W}

y

2 y + 1 < 3

Y ϵ W

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