Solve the following system of inequalities graphically `x+2ylt=8` . . . (i)`2x+ylt=8` . . . (ii)`xgeq0` . . . (iii)`ygeq0` . . . (iv)

Explanation

To solve the system of inequalities graphically, we will follow these steps:

### Step 1: Rewrite the inequalities
We have the following inequalities:
1. \( x + 2y < 8 \) (i)
2. \( 2x + y < 8 \) (ii)
3. \( x \geq 0 \) (iii)
4. \( y \geq 0 \) (iv)
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