Answer with explanation:
The given Inequality is
→y + 2 x < 4 x-3
Subtracting -4 x from both sides
→ y + 2 x - 4 x < 4 x-3-4 x
→ y - 2 x < -3
Dividing both sides by, -1
→ 2 x - y > 3 →→[Used the property of inequality, if , -a > -b, then , a < b , by cancelling negative sign from both sides]
Writing in intercept form
[tex]\frac{x}{\frac{3}{2}}+\frac{y}{-3}>1[/tex]
It cuts the X axis at, [tex](\frac{3}{2},0)[/tex] and y axis at , (0,-3).
Drawing the graph of Inequality
