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3 years ago

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

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

<h2>Answer:</h2><h2 /><h2>➧x>0 & x<-8</h2>

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

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 ☆☆☆

☆☆☆

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

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