Question

Which linear inequality is represented by the graph?

O y s 2x + 4
Oys2x+3
O y z 2 / 3x + 3
O y 22x + 3

Answer 1

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the boundary line passes through two point (0,3) and (2,4). So, the equation of boundary line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-3=(4-3)/(2-0)(x-0)`

`y-3=(1)/(2)(x)`

`y=(1)/(2)x+3`

The shaded area lies below the boundary line and the boundary line is a solid line. So, the sign of inequality must be ≤.

The required inequality is

`y\leq (1)/(2)x+3`

Therefore, the correct option is B.