Question

Which of the following inequalities match the graph?

A. 3x - 2y ≥ 4
B. 3x - 4y ≤ 2
C. 3x - 2y ≤ 4
D. The correct inequality is not listed

Answer 1

c

Explanation:

Answer 2

Option C

Explanation:

From the graph attached,

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Line in the graph passes through two points (0, -2) and (4, 4)

Slope of the line 'm' =
`(4-(-2))/(4-0)`

=
`(6)/(4)`

=
`(3)/(2)`

y-intercept of the line 'b' = -2

Therefore, equation will be,

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

2y = 3x - 4

3x - 2y = 4

Since, graph of the linear equation is a dark line and shaded region is on the left side of the line,

Inequality showing the solution area will be,

3x - 2y ≤ 4

Option C will be the answer.