Question

Can someone tell me how to do this problem? (Steps)

Answer 1

Answer:

➧x>0 & x<-8

Steps:

➧9-∣x+4∣<5

Add -9 to both sides

➧9-∣x+4∣-9<5-9

➧-∣x+4∣<-4

Replace x+4 by X ☆☆

➧-∣X∣<-4

☆☆Note:

1)∣X∣ = -X if X is negative or <0

2)∣X∣ = X if X is positive or >0

1) If X is negative no

➧-(-X)<-4

➧X<-4

➧x+4<-4

Add -4 to both sides

➧x+4-4<-4-4

➧x<-8

2) If X is positive no

➧-(X)<-4

➧-X<-4

➧-(x+4)<-4

➧-x-4<-4

Add 4 to both sides

➧-x-4+4<-4+4

➧-x<0

Multiply both side by -1 ☆☆☆

➧x>0

☆☆☆

Multiplying both sides by a negative no changes > to < and vice versa