Solve the following inequalities: a. |-2x+4|-5<10 b. 7+2|2-7x|>9

Question

I'm not sure if I'm doing this right 

 

For a. I got x>11/-2   or    x<19/2    

interval notation:  (-infinity, infinity)

 

For b. I got   x<1/7     or     x>3/7     

interval notation: (-infinity, 1/7)U(3/7, infinity)

Answer 1

for "a" your answer would be right if you said AND instead of OR.

Answer: (-11/2, 19/2)

This inequality is a CONJUNCTION.

 

"b: is a DISJUNCTION, and "or" is the appropriate connector between the two inequalities; you answer is correct.