Solve the inequality

|r+3|> 7

For

|a|>b, solve for the value that make a true for

a>b and a<-b

|r+3|>7

solve

r+3>7 and r+3<-7

minus 3 both sides in both equations

r>4 and r<-10

the solution is r>4 or r<-10, basically r can be any real number except for from - 10 to 4

r>4 or r<-10

Absolute value so the answer can be positive or negative

R+3>7

-3>-3

R>4

Or

R-3>7

+3>+3

R>10

Answer

410