Welcome to the random absolute-value inequality machine!
Solve: −|1 ⁄ 3 * x − 1 ⁄ 2| > 0
Note: due to the limitations of computer keyboards, you likely don't have an ∞ key, so just write “inf” or the like; if you write anything that I can't parse as a number then I'll assume you mean ±∞.
Also, if you only want to write 0 or 1 interval(s), just leave the other(s) blank. (If you leave them both blank, then I'll assume you mean ∅.)
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