Represent to solution set of each of the following inequations graphically in two dimensional plane:
Represent to solution set of each of the following inequations graphically in two dimensional plane:
5. −3x + 2y ≤ 6
Converting the inequation to equation, we obtain $-3 x+2 y=6$, i.e $-3 x+2 y-6=0$
Putting y = 0 and x = 0 in this equation, we obtain x =
We plot these points and join them by a thick line.This divides the xy plane in two parts. To determine the region represented by the given inequality, consider point $O(0,0)$. Clearly, $(0,0)$ satisfy the inequality $-3 x+2 y \leq 6$. So, the region containing the origin is represented by the given inequality.
Hence, the shaded region is the solution to the inequation.
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