# How do you translate to an algebraic expression 6 less than x cubed?

Jul 2, 2015

${x}^{3} - 6$

#### Explanation:

For problems like this, it's good to be break up the information and visualize how it fits in together.

So we're told we have a $6$. We're also told we have an ${x}^{3}$ (x cubed).

The question tells us that there is $6$ less than ${x}^{3}$. That means that $6$ is always being taken away from ${x}^{3}$, being subtracted from it.

Therefore, the expression would be:
${x}^{3} - 6$
which you could make into a function:
$f \left(x\right) = {x}^{3} - 6$

Jul 3, 2015

$6$ < ${x}^{3}$
We are told that we have $6$ less than ${x}^{3}$
$6$ less than ${x}^{3}$= $6$ < ${x}^{3}$ since "<" is the "less than" sign