1)3/4+x >1 is it x>1/4 ,x< -1/4?

2)6x+8 > 4 is it x>-2/3 ,x< -3?
3)|x+0.5|=0.25 is it x=-o.25,-0.75
4)|7-x|>2 is it -x>-5 ,-x<-9

1)3/4+x >1 --> x>1/4

2)6x+8 > 4 --> x>-2/3

3)|x+0.5|=0.25 is it x=-o.25,-0.75

(x+.5) = .25 and -(x+.5) = .25
x = -.25 and x = -.75 agree

4)|7-x|>2 is it -x>-5 ,-x<-9
(7-x)>2 and -(7-x)>2
-x >-5 and x>9
x<5 and x>9

when you multiply both sides of an inequality by a negative number you change the direction of the arrow

thank you very much!!! :)