If we think of XY and XZ as 2 sides of a triangle, we can use the following rule to find the range of values for YZ:
If two sides of a triangle have lengths A and B, then:
DIFFERENCE between A and B < length of third side < SUM of A and B
When we apply this property, we get: 8 < YZ < 32
ASIDE: This looks a lot like answer choice B, except B features "less than or equal to" symbols (≤). The reason we need "≤" is that XYZ need not be a triangle. So, we must also include the possibility that X, Y and Z lie in a straight line.
For this reason, the correct answer is B
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Brent Hanneson - founder of Greenlight Test Prep