Question

Question: One third of a number, decreased by thirty-six is at most twenty-two.

Answer 1

the number: x
one third of the number:
`\frac13x`
decreased 36: -36
at most means equal or less: ≤

So, we get:
`\frac13x-36\leq22`
add 36 to both sides:
`\frac13x-36+36\leq22+36`

`\frac13x\leq58`
Multiply both sides by 3:
`3\cdot\frac13x\leq3\cdot58`

`~\ \ \ x\leq 174\\\\ x\in(-\infty\ ;\ 174\ \textgreater`

Answer 2

First write it out.
1/3x - 36 ≥ 22
Add 36 to both sides
1/3x ≥ 58
divide both sides by 1/3, and you get 174