u/CookinTendies5864

When I was in 3rd to 4th grade I was informed on about the domain of linear equations for example; the carrot “>”

Which signified the direction of the of the domain for example:

x>10 showed us x is greater than 10

while x<10 is any number less than 10.

I found this does not work with complex fractions

X^2 + 5 >= 0

————

X^2 - 2 > 0

These carrots do not determine the direction of the domain as I expected as these are complex equations unlike the linear equations seen before.

So this has lead me to believe I have some mental shortcuts that are not valid anymore so I’m seeking guidance on a book for algebra and calculus and any shortcuts that you were told that don’t work anymore in either calculus or algebra.

Any clarity would be greatly appreciated.

Thank you.

In psychology avoidant personalities tend to attract Anxious-Preoccupied personalities.

How can a person( me ) better understand this dynamic while tending to questions, concerns and the emotional needs of both parties?

I find my approach to be fairly callous while also feeling overwhelmed by the pure contrast in traits. What helps you overcome this stark contrast while maintaining a level of sincerity?

How can I be more present composed for people under heighten states of anxiety? Sometimes I feel as though I just might not be doing enough to support these emotionally varied personalities or even too much hence my inquiry.

All responses are welcomed.

Thank you