Friday, September 10, 2010


Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?

A) x^4 '>'= 1
B) x^3 '>'= 27
C) x^2 '>'= 16
D) 2 '<'= |x| '<'= 5
E) 2 '<'= 3x+4 '<'= 6

A,B & C lare non liner graphs....

(D) 2 <= |x| <= 5
|x| >= 2
x >= 2 or x <= -2
x <= 5 or x >= -5

These are two segments. One is from -5 to -2. The other from 2 to 5.

(E) 2 '<'= 3x+4' <'= 6
-2 '<'= 3x '<'= 2
-2/3 '<'= x '<'= 2/3

This is one continuous segment.

No comments: