Solve x >= 0 and x <= 5

Step by step

The question

Question: solve x ≥ 0 and x ≤ 5.

"And" means both parts must be true.

Both parts are solved already: x is by itself in each one.

1 Show each part on a number line

2 Find the numbers in both

"And": we keep only the numbers that are shaded on both lines.

So 0 ≤ x ≤ 5.

x is between 0 and 5.

Careful!

A number that is shaded on only one line is not an answer.

It must be on both.

Books also write the answer like this.

It is called interval notation.

A square bracket means the end is in, like the filled circle.

3 Check

Let's test one number from the answer: 3.

"And": it must work in both parts.

First part.

3 is greater than or equal to 0.

True!

Now the second part.

3 is less than or equal to 5.

True!

So the answer works.

Let's look back.

First: show each part on a number line.

Then: find the numbers in both.

Last: check.