Question 356304
No, not necessarily a common solution. 
{{{x>4}}} and {{{x<1}}} don't have a common solution because no number exist that's greater than 4 and less than 1 at the same time.
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The only time they'll have exactly the same solution is when they're the same inequality.
For example,
{{{x>5}}} shares the solution with {{{2x-10>0}}} because,
{{{2x-10>0}}}
{{{2x>10}}}
{{{x>5}}}