Can someone show me how to solve these inequalties for me? I cannot figure any of them out

-6 < x and 3 < 6 (Remember this is an "and" statement)

-3x < -6 or x + 5 < -2

x - 2 > 2x + 1 or -10 > -2x - 2

First of all, the first problem makes nonsense. The second condtion is three is less than six. Duh, that has been true a long, long time. All you have is x is greater than -6

Second,
divide by minus three
x>2 or x<-7

Third
x>2x+3
x<-3 Check that
or the second condition add 2x to both sides and add ten to both sides, then divide by 2.

It helps when you state what difficulty you are having