Question

Which of the following inequalities is graphed on the coordinates plane ?

Answer 1

Answer:

It Should Be A

Step-by-step explanation:

Answer 2

Answer:

option D.

$y \geqslant 2x + 2$

Step-by-step explanation:

we have two points on the line

• (0, 2)
• (-1, 0)

using these points to find the equation of the line (shown as red in the figure)

$y - y_{1} = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} (x - x_{1})$

let,

• x₁ = -1 , y₁ = 0
• x₂ = 0 , y₂ = 2

$y - 0 = \frac{2 - 0}{ 0 + 1} (x + 1) \\ y = 2(x + 1) \\ y = 2x + 2$

so the equation of the required line (boundary line) is y = 2x+ 2

the shaded portion is represented by inequality :-

$y \geqslant 2x + 2$

so, option D is the answer