Question

Which of the following statements says that a number is between -3 and 3?

Ix) = 3
Ix<3
O x > 3

Answer 1

The inequality that represents this condition would be:

• -3 < x < 3

Explanation:

Let x be the number between -3 and 3

Since x is between -3 and 3, so we do not have to include the integer -3 and 3 in the interval.

In inequality:

• The symbol '>' is used to represent 'greater than'.

• The symbol '<' is used to represent 'less than'.

Since the number 'x' is between -3 and 3. It means the number must be greater than -3 and less than 3.

Thus, the inequality that represents this condition would be:

• -3 < x < 3

The graph of the line number involving the solution -3 < x < 3 is also attached below.

Therefore, we conclude that:

`-3<x<3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-3<x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-3,\:3\right)\end{bmatrix}`