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

Question

asked Oct 10, 2023 16.3k views

1 Answer

Melllvar · Answer 1 · 2023-10-15T08:20:20+0000

Answer:

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.