The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?
Options:
(A) (3+x) (2x) 0
(B) (3x) (2+x) 0
(C) (x3) (x+2) 0
(D) (x+3) (2x) 0
(E) (3x) (2x) 0 Let's think first. Stream of consciousness:
Given: x3x3 and x2 x2
(x+3)0(x+3)0 and (x2)0(x2)0
(x+3)0(x+3)0 and (2x)0(2x)0
So, the answer is (D).