Question

PLEASE HELP. Which is the best interpretation of the solution set for the compound inequality? 3/2x-1<2x + 4 or 3(2/3x + 1) &lt; 11 A. no solution B. x > -10 C. x<4 D. all real numbers.

Answer 1

(3/2)x-1<2x+4
3x-2<4x+8
-2<x+8
-10<x
x>-10

3((2/3)x + 1) < 11
(3*2/3)x+1*3<11
2x +3<11
2x<8
x<4

so the compound equality is the set of all numbers which are >-10 or <4, which are D) all real numbers