What is the minimum value of |x-4| + |x+5| + |x-5| ?
Choose the correct choice from the following options.
A) -3  B) 3  C) 5  D) 7  E) 10
A cannot be the answer as all the three terms are in modulus and hence the answer will be non negative.   |x-4| &gt;= 0 --&gt; Minimum occurs at x = 4   |x+5| &gt;= 0 --&gt; Minimum occurs at x = -5   |x-5| &gt;= 0 --&gt; Minimum occurs at x = 5   x = -5 --&gt; Result = 9 + 0 + 10= 
<gadget id="calculator">9 + 0 + 10</gadget>
<output>19</output>
19. Also any negative value will push the combined value of |x-4| + |x-5| to a value &gt; 9.   x= 4 --&gt; Result = 0 + 9 + 1= 
<gadget id="calculator">0 + 9 + 1</gadget>
<output>10</output>
10   x= 5 --&gt; Result = 1 + 10 + 0= 
<gadget id="calculator">1 + 10 + 0</gadget>
<output>11</output>
11   So minimum value of the expression occurs at x= 4 and the resultant value = 10   Answer: 10
<result>E</result>
What is the minimum value of |x-4| + |x+5| + |x-5| ?