Answer :
The student didn't add 4 to all expressions in the inequality.
It should be:
[tex]2<-3x-4<5 \ \ \ |+4 \\ 6<-3x<9 \ \ \ |\div (-3) \\ -2>x>-3[/tex]
It should be:
[tex]2<-3x-4<5 \ \ \ |+4 \\ 6<-3x<9 \ \ \ |\div (-3) \\ -2>x>-3[/tex]
2 < -3x - 4 < 2
+4 +4 +4
2 < -3x < 6
-2 -2
-3x < 4
-3 -3
x < -1 1/3
6 < -3x < 5
-5 -5
1 < -3x
-3 -3
-1/3 < x
x > -1/3
-2 > x > -5/3
+5/3 +5/3
-1/3 > x
x < -1/3
+4 +4 +4
2 < -3x < 6
-2 -2
-3x < 4
-3 -3
x < -1 1/3
6 < -3x < 5
-5 -5
1 < -3x
-3 -3
-1/3 < x
x > -1/3
-2 > x > -5/3
+5/3 +5/3
-1/3 > x
x < -1/3
