Question

given: A = {18, 6, -3, -12}

determine all elements of set A that are in the solution of the inequality 2/3x+3<-2x-7.

A. {-3, 6, 18}
B. {6, 18}
C. {-3, -12}
D. {-12}

Answer 1

First solve the inequality:
(2/3)x +3< -2x-7
(8/3)x< -10
x< -30/8
x<-15/4 or x< -3.75
now look for the answers which satisfy this, and the answer will be D