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# The shaded area represents

### Question

The shaded area represents

### Options

A) x $$\leq$$ 0, y $$\leq$$ 0, 2y + 3x $$\leq$$ 6

B) x $$\geq$$ 0, y $$\geq$$ 3, 3x + 2y $$\geq$$ 6

C) x $$\geq$$ 2, y $$\geq$$ 0, 3x + 2y $$\leq$$ 6

D) x $$\geq$$ 0, y $$\geq$$ 0, 3x + 2y $$\geq$$ 6

The correct answer is A.

### Explanation:

m = $$\frac{y_2 - y_1}{x_2 - x_2} = \frac{3 - 0}{0 - 2} = \frac{-3}{2}$$

= $$\frac{y - y_1}{x- x_1}$$

m = $$\frac{y - 3}{x}$$ $$\geq$$ $$\frac{-3}{2}$$

2(y - 3) $$\geq$$ - 3x = 2y - 6 $$\geq$$ - 3x

= 2y + 3x $$\leq$$ 6 ; x $$\leq$$ 0, y $$\leq$$ 0

## Dicussion (1)

• m = $$\frac{y_2 - y_1}{x_2 - x_2} = \frac{3 - 0}{0 - 2} = \frac{-3}{2}$$

= $$\frac{y - y_1}{x- x_1}$$

m = $$\frac{y - 3}{x}$$ $$\geq$$ $$\frac{-3}{2}$$

2(y - 3) $$\geq$$ - 3x = 2y - 6 $$\geq$$ - 3x

= 2y + 3x $$\leq$$ 6 ; x $$\leq$$ 0, y $$\leq$$ 0