<h2>
<u>Answer:</u></h2><h2 /><h2>
<u>➧</u><u>x>0</u><u> </u><u>&</u><u> </u><u>x</u><u><</u><u>-8</u></h2>
<u>Steps:</u>
➧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
<u>☆</u><u>☆</u><u>Note:</u>
1)∣X∣ = -X if X is negative or <0
2)∣X∣ = X if X is positive or >0
<u>1) </u><u>If</u><u> </u><u>X</u><u> </u><u>is</u><u> </u><u>negative</u><u> </u><u>no</u>
➧-(-X)<-4
➧X<-4
➧x+4<-4
Add -4 to both sides
➧x+4-4<-4-4
<h2>
<u>➧</u><u>x<-8</u></h2>
<u>2) </u><u>I</u><u>f</u><u> </u><u> X</u><u> </u><u>is</u><u> </u><u>positive</u><u> </u><u>no</u>
➧-(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 ☆☆☆
<h2><u>➧</u><u>x>0</u></h2>
☆☆☆
Multiplying both sides by a negative no changes > to < and vice versa