What is the minimum value of |x-4| + |x+2| + |x-5| ? Choose the correct choice from the following answers
A) -3
B) 3
C) 5
D) 7
E) 8
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+2| &gt;= 0 --&gt; Minimum occurs at x = -2   |x-5| &gt;= 0 --&gt; Minimum occurs at x = 5   x = -2 --&gt; Result = 6 + 0 + 7= 
<gadget id="calculator">6 + 0 + 7</gadget>
<output>13</output>
13. Also any negative value will push the combined value of |x-4| + |x-5| to a value &gt; 9.   x= 4 --&gt; Result = 0 + 6 + 1= 
<gadget id="calculator">0 + 6 + 1</gadget>
<output>7</output>
7   x= 5 --&gt; Result = 1 + 7 + 0= 
<gadget id="calculator">1 + 7 + 0</gadget>
<output>8</output>
8   x= 2 --&gt; Result = 2 + 4 + 3= 
<gadget id="calculator">2 + 4 + 3</gadget>
<output>9</output>
9   So minimum value of the expression occurs at x= 4 and the resultant value = 7   Answer: 7
<result>D</result>
What is the minimum value of |x-4| + |x+2| + |x-5| ?