Question

Which of the following inequalities matches the graph?

3x - 2y >= 4

3x - 4y <= 2

3x - 2y <= 4

The correct inequality is not listed.

Answer 1

The line in the graph has a slope of (3/2).

Which of the inequalities has a slope of (3/2)?

Answer 2

3x - 2y <= 4 and 3x - 2y >= 4 both have a slope of (3/2)

Now test a point in the shaded region to see which inequality is true.
(0,0) is an easy test point.

3(0)-2(0) <= 4
or
3(0)-2(0) >= 4

which statement is true?

Answer 3

the second one?

Answer 4

3(0)-2(0)=0

0 < 4
or
0 > 4