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Do you have an OE on this ? I am trying to work out the exact maths to solve these kinds of problems. After doing some modulus maths I am arriving at the following :
Stmt 1 tells us :
when x > 3 ---> x < 8
when x <3> x > -2
Stmt 2 tells us :
when x > -2 ---> x > 3
when x <2> x <7> 0 ? Clearly when x < -2 it is NOT < 0 hence the answer should be E ?
Now that I understand this, let me try and explain. Once we have narrowed it down to 2 different number lines (see the number lines in kwams explanation), we can only accept values of x that are common for BOTH number lines and discard the rest.
An analogy would be if Stmt 1 says x = 2 or 3 or 4
and Stmt 2 says x = 2 or 5 or 7. In this case x can only be 2 because it is the common value and all the rest of the values are discarded.
Similarly on that number line the only values for x that are possible are the common ones (i.e. between 3 and 8)