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

Let Mgt0 Match Each Inequality With Its Graph Explain Your Reasoning class=

Sagot :

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.

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