Question

How do you write an algebraic expression, an equation, or an inequality of "The difference of 10 and the square of a number z is less than 18"?

Answer 1

`|z^2-10|<18`

Explanation:

This is an inequality and is written by simply converting the words into an algebraic format.

Answer 2

`abs(10-z^2) < 18`

Explanation:

The difference of 10 and `color(blue)(" the square of a number "z)` is less than 18
The difference of 10 and `color(blue)(z^2)` is less than 18

The `color(red)("difference of "10" and "z^2)` is less than 18
The `color(red)(abs(10-z^2)` is less than 18

The abs(10-z^2)`color(green)(" is less than "18)`
The `color(green)(abs(10-z^2) < 18)`