documentclass{minimal}
begin{document}
Let $tin[0,infty)$.
Let $tin[0,infty[$.
Let $tinleft[0,inftyright)$.
Let $tinleft[0,inftyright[$.
end{document}

Warning 9 in minimal.tex line 4: `]' expected, found `)'.
Let $tin[0,infty)$.
                  ^
Warning 9 in minimal.tex line 6: `]' expected, found `)'.
Let $tinleft[0,inftyright)$.
                             ^
Warning 15 in minimal.tex line 7: No match found for `['.
Let $tinleft[0,inftyright[$.
                             ^
Warning 15 in minimal.tex line 7: No match found for `['.
Let $tinleft[0,inftyright[$.
              ^
Warning 15 in minimal.tex line 5: No match found for `['.
Let $tin[0,infty[$.
                  ^
Warning 15 in minimal.tex line 5: No match found for `['.
Let $tin[0,infty[$.
         ^
Warning 17 in minimal.tex line 8: Number of `(' doesn't match the number of `)'!
Warning 17 in minimal.tex line 8: Number of `[' doesn't match the number of `]'!