Question

1. Write the interval shown on the number line

below
3 4 5 6 7 8
as an inequality
using set notation

Answer 1

`x\geq 5`

`\\ x \geq 5\` OR {5, 6, 7, 8, .....}

Explanation:

First of all, let us have a look at the interval shown on the number line and try to understand it properly.

The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.

The number highlighted starts from 5 and there is filled circle at 5.

So, 5 is included in the interval.

The arrow is from 5 towards 8 and so on..

That means Numbers greater than or equal to 5 are represented by the interval.

So, writing as an inequality

Let
`x` represents one of the numbers.

Hence, inequality can be written as:

`x\geq 5`

Using the set notation:

`\\ x \geq 5\`

OR

{5, 6, 7, 8, .....}