Question

Write an inequality and show on a number line all numbers:from (–3) to 2 exclusive.

Answer 1

`-3 < x < 2`

Explanation:

Given:

Range: -3 to 2

Required:

- Write the inequality

- Represent on a number line

Let the variable be represented by x

The question says -3 and 2 are exclusive of x;

This implies that, -3 is less than x
`(i.e.\ -3 < x)` and at the same time x is less than 2
`(i.e.\ x < 2)`

Write out the two inequalities

`-3 < x` and
`x < 2`

Combine both inequalities

`-3 < x < 2`

See attachment for number line

Notice that the circle on -3 and 2 are opened

This implies that -3 and 2 are exclusive of the inequality;