Question 340408
When the inequality does not include an "=" sign, then the solution will not contain the interval endpoint, so then you would use a set of parentheses.
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Example: {{{5-2x>0}}}
{{{-2x>-5}}}
{{{x<5/2}}}
So the interval includes all numbers less than {{{5/2}}} but not {{{5/2}}}.
In interval notation that would be,
({{{-infinity}}},{{{5/2}}})
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When the inequality does contain an "=" sign, then the solution would include the interval endpoint, so then you would use a bracket.
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Example:{{{5-2x >= 0}}}
{{{-2x >= -5}}}
{{{x <= 5/2}}}
In interval notation,
({{{-infinity}}},{{{5/2}}}]
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And finally for a compound inequality,
Example:{{{0 < 5-2x < 20}}}
The one side you already solved, 
{{{x < 5/2}}}
The other side is,
{{{5-2x<20}}}
{{{-2x<15}}}
{{{x>-15/2}}}
Putting those two together,
({{{-15/2}}},{{{5/2}}})
Then look at all of the variations with the different inequality signs,
{{{0 < 5-2x < 20}}}: ({{{-15/2}}},{{{5/2}}})
{{{0 < 5-2x <= 20}}}: [{{{-15/2}}},{{{5/2}}})
{{{0 <= 5-2x <= 20}}}: [{{{-15/2}}},{{{5/2}}}]
{{{0 <= 5-2x < 20}}}: ({{{-15/2}}},{{{5/2}}}]