Please can someone help

Question

Describe how you know if an inequality is an “and” or an “or” problem. (use -3 < x+5 < 8). Also, how do you know if an absolute value question is an “and” or an “or” problem? Lastly, will you always have two solutions to an absolute value problem?

Answer 1

Hi Kendrick, the way to tell which on is which is by looking at the direction of the inequality sign.

1) if the less than sign is towards the terms contained by the absolute value sign, you will have "and."

Example l3x-5l<7

2) If it points the other way you will have "or."

Ex. l2x+15l>9

-7<3x-5<7<=> -7+5<3x<7+5<=>2<3x<12<=>2/3<x<4, this is "and"

 

2x+15>9<=>2x>9-15<=>2x>-6<=>x>-3 This and

 

2x+15<-9<=>2x<-9-15<=>2x<-24<=>x<-12 this are "or."

 

I hope this helps you