# Represent to solution set of each of the following inequations graphically in two dimensional plane:

**Question:**

Represent to solution set of each of the following inequations graphically in two dimensional plane:

6. *x* ≤ 8 − 4*y*

**Solution:**

Converting the inequation to equation, we obtain $x+4 y-8=0$

Putting *y* = 0 and *x* = 0 in this equation, we obtain *x* = 8 and *y* = 2 respectively. So, this line meets the *x-*axis at (8,0) and *y*-axis at (0,2). We plot these points and join them by a thick line. This divides the *xy* plane into two parts. To determine the region represented by the given inequality, consider point *O*(0,0). Clearly, (0,0) satisfies the inequality. 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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