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: