Verified Answer :

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

unicorn3125

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:         \(3\cdot\frac13x\leq3\cdot58\)
                                                   \(~\ \ \ x\leq 174\\\\ x\in(-\infty\ ;\ 174\ \textgreater\)

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