Question

Solve for x.

-15x+60<105 and 14x+11<-31
A). x<-3
B).x>-3
C).x=-3
D). there are no solutions
E). all caluse of x are dolutions

Answer 1

c.=-3 is the correct answer I just did the test

Answer 2

-15x+60<105 and 14x+11<-31

-15x+60<105 subtract 60 from each side

-15x <45

divide by -15 (flips the inequality)

x>3

14x+11<-31

subtract 11 from each side

14x < -42

divide by 14

x<-3

Answer : there are no solutions since x>3 and x<-3 they are mutually exclusive (they both can't happen at the same time)