let m>0. match each inequality with its graph. Explain your reasoning.
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Answer:
a. C
b. A
c. B
d. D
Step-by-step explanation:
[tex]a.\ \ \frac{x}{m} < -1 \Longleftrightarrow x < -m[/tex]
Then
The graph that represents the inequality is C.
[tex]b.\ \ \frac{x}{m} > 1 \Longleftrightarrow x > m[/tex]
Then
The graph that represents the inequality is A.
[tex]c.\ \ \frac{x}{m} < 1 \Longleftrightarrow x < m[/tex]
Then
The graph that represents the inequality is B
[tex]d.\ \ -\frac{x}{m} < 1 \Longleftrightarrow -x < m \Longleftrightarrow x > -m[/tex]
Then
The graph that represents the inequality is D.