SAT Subject Test Mathematics Level 2

(Marvins-Underground-K-12) #1
If  the product of  (3x −   6)  and (2  +   x)  is  negative,   then    one of  the two factors is  negative    and
the other is positive. There are two cases:

Case    1,  when     3 x    −   6   <   0   and 2   +   x   >   0:

and:

So, all x   such    that    −2  <   x   <   2   satisfy the inequality.

Case    2,  when     3 x    −   6   >   0   and 2   +   x   <   0:

and:

There   are no  numbers that    are both    less    than    −2  and greater than    2,  so  the numbers that
work in Case 1 are the complete solution set.

10 . E
You can use the two given points to find the slope:


Next    plug    the point   (0, y)  and either  one of  the given   points  into    the same    formula:
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