<PRE><B>Question 1206365</B>
&lt;br&gt;
The guess must be &quot;within 5&quot; of the correct number 697.  Writing that in the form that can be translated directly into an absolute value INEQUALITY gives us &quot;the difference between the guess x and the correct number 697 must be at most 5&quot;:&lt;br&gt;
{{{abs(x-697)&lt;=5}}}&lt;br&gt;
Informally, the guess needs to be at least 697-5 = 692 and at most 697+5 = 702.&lt;br&gt;
Formally...&lt;br&gt;
{{{-5&lt;=x-697&lt;=5}}}
{{{-5+697&lt;=x&lt;=5+697}}}
{{{692&lt;=x&lt;=702}}}&lt;br&gt;

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