Question

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.

Answer 1

`-2<x<-(3)/(4)` Or
`x\in (-2,-(3)/(4))`

Explanation:

The numbers are
`-(3)/(4)` and
`-2`.

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

The inequality will be

`-2<x<-(3)/(4)`

Or

`x\in (-2,-(3)/(4))`

This means that
`x` is a number that is in between the rational numbers
`-(3)/(4)` and
`-2`. Also,
`x` is greater than
`-2` and less than
`-(3)/(4)`

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