What is the interval notation for -2x+2>0 OR -3x+4<-5

Answer 1

-2x +2 >0

-x + 1 >0

-x > -1

multiply by -1 and reverse the inequality sign

x < 1

(-infinity, 1)

-3x+4 < -5

-3x < -9

divide by -3 and reverse the inequality sign

x > 3

(3, infinity)

(-infinity, 1) U (3, infinity)

(-inf, 1) U (3, inf)

x = any real number except in the interval [1,3]