Question

Write an equation showing a point `w` being no more than 10 spots away from the origin?

Answer 1

`w<=|10|`

Explanation:

I'm going to answer this with the assumption that we're talking about points along the x-axis.

When we move along the x-axis, we can move to the right (numbers get higher) or the left (numbers get lower). And when that movement starts at the origin (point 0), moving to the right results in positive numbers and to the left negative numbers.

If we move 10 spots to the right we get 10 and to the left we get -10.

But what if we don't care which direction we moved - we just want to know how many spots were moved. We use the absolute value symbol to denote that - the general form of which is `|x|`. In our case, the absolute value of 10 is denoted `|10|`.

We're being asked for an equation for w being no more than 10 spots from the origin. That can be written:

`w<=|10|`

which says "the value of w is less than or equal to `|10|`, and `|10|` is 10 spots away from 0"