samuelc100000
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1.Write an inequality comparing the rational numbers -3/4 and -2 .
2. Using complete sentences, explain what your inequality means about the position of the two numbers on the number line.

Sagot :

boffeemadrid

Answer:

[tex]-2<x<-\dfrac{3}{4}[/tex] Or [tex]x\in (-2,-\dfrac{3}{4})[/tex]

Step-by-step explanation:

The numbers are [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex].

We need an inequality that gives us the numbers between the above numbers.

The inequality will be

[tex]-2<x<-\dfrac{3}{4}[/tex]

Or

[tex]x\in (-2,-\dfrac{3}{4})[/tex]

This means that [tex]x[/tex] is a number that is in between the rational numbers [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex]. Also, [tex]x[/tex] is greater than [tex]-2[/tex] and less than [tex]-\dfrac{3}{4}[/tex]

The positions in the number line are shown in the figure where the numbers are marked by arrow.

View image boffeemadrid
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