How do you express intervals as inequalities such as [ - 2 , 9 ] ?

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How do you express intervals as inequalities such as             [      -      2      ,      9      ]       ?

kawiarkahh · Accepted Answer

Step 1The expression             [      -      2      ,      9      ]       in interval form means thatthe concerned variable, say x has a lower limit of -2 and including -2, as we have square brackets but had we parentheses i.e. &#039;(&#039;, this means that -2 is not included.In other words       x    ≥    -    2   as value of x is not less than -2Further, as the interval has an upper limit of 9, again including 9, as we have square brackets but had we parentheses i.e. &#039;(&#039;, this means that 9 is not included.In other words       x    ≤    9   as value of x is not greater than -2.The two limits can then be combined as       -    2    ≤    x    ≤    9  Note that had it be             (      -      2      ,      9      )      the result would have been       -    2    &amp;lt;    x    &amp;lt;    9              (      -      2      ,      9      ]       as       -    2    &amp;lt;    x    ≤    9  and             [      -      2      ,      9      )       as       -    2    ≤    x    &amp;lt;    9

How do you express intervals as inequalities such as <mstyle displaystyle="true"> [

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