Question

REPOST*

I NEED HELP ON THESE THREE QUESTIONS*
The number line compares the numbers –6, 3, and 5.

1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.

2. Write an inequality that compares 3 and 5.

3. Write an inequality that compares –6, 3, and 5.

Answer 1

#1

• -6-3-5

Hence inequality will be

`\\ \sf\longmapsto -6\leqslant 5`

#2.

• 3<5

But we need inequality

`\\ \sf\longmapsto 3\leqslant 5`

#3

The inequality given by

`\\ \sf\longmapsto -6\leqslant 3\leqslant 5`

Answer 2

• See below

Explanation:

Given numbers:

• -6, 3 and 5

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

• -6 < 3, as -6 is to left from 3

2.

• 3 < 5, as 3 is to left from 5

3.

• -6 < 3 < 5, as per above explanation