Question

Which answer shows y + 2x < 4x-3

Answer 1

y + 2x < 4x - 3 subtract 2x from both sides

y < 2x - 3

y = 2x - 3

for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)

dotted line and shading below a line

Answer 2

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

`(x)/((3)/(2))+(y)/(-3)>1`

It cuts the X axis at,
`((3)/(2),0)` and y axis at , (0,-3).

Drawing the graph of Inequality