Question

Let m>0. match each inequality with its graph. Explain your reasoning.

Answer 1

a. C

b. A

c. B

d. D

Explanation:

`a.\ \ (x)/(m) < -1 \Longleftrightarrow x < -m`

Then

The graph that represents the inequality is C.

`b.\ \ (x)/(m) > 1 \Longleftrightarrow x > m`

Then

The graph that represents the inequality is A.

`c.\ \ (x)/(m) < 1 \Longleftrightarrow x < m`

Then

The graph that represents the inequality is B

`d.\ \ -(x)/(m) < 1 \Longleftrightarrow -x < m \Longleftrightarrow x > -m`

Then

The graph that represents the inequality is D.