|6y-2|+4<22
|6y-2| < 18
either
6y -2 < 18
6y < 20
y < 20/6
y < 10/3
or
6y -2 > -18
6y > -16
y > -16/6
y > -8/3
so the answer is -8/3 < y < 10/3
In interval notation it is ( -8/3 , 10/3)
|6y-2| < 18
either
6y -2 < 18
6y < 20
y < 20/6
y < 10/3
or
6y -2 > -18
6y > -16
y > -16/6
y > -8/3
so the answer is -8/3 < y < 10/3
In interval notation it is ( -8/3 , 10/3)
-
6y-2<18
6y<20
y<20/6
y<10/3 <-------------
6y<20
y<20/6
y<10/3 <-------------