hey guys, so in the prepswift video I learned that when we see an absolute value equation, we have to make two out of them… so what I thought is that we make t+3>5 and t+3>-5
Can someone help me understand why the sign is supposed to flip? BEcause I saw it’s supposed to be t+3>5 and t+3<-5
Thanks!
It should be in this way
t+3 > 5 => t>2
-(t+3) > 5 => t+3 < -5 => t < -8
But when you have an equal sign you simply say
t+3=5
and t+3=-5
or is it then also in the same way that
t+3=5
and -(t+3)=5 thus t+3=-5?
because then it’s consistent 
thanks again!
For easier understanding you can see it this way
In inequality we moved the RHS to LHS AND LHS to RHS
-(t+3)>5
=> -5 > t+3
=> -8 > t
=> t < -8
Or
Whenever the inequality is multiplied by -1 both sides, the < or > sign changes to opposite
does my above explanation work though for absolutes with an equal sign?
Yes thats true for equality but for inequality you should go with the way I told
yes i understand, thank you. i was just trying to compare your method and then adjusting what i learned for the equal signs.
so i said for |t+3|=5 we make two equations, namely
t+3 = 5 AND t+3 = -5
you said that actually, for the inequality, it’s like these two
t+3 > 5 AND -(t+3) > 5 => t+3 < -5
so then, could i adjust my method for working with equations to the method you showed under point 2? in stead of saying
t+3 = 5 AND t+3 = -5
I could take your method and say, it turns into the two equations
t+3=5 and -(t+3)=5, which turns into t+3=-5
because then I use the same method for both equations and inequalities and that makes it easier to understand for me