Verified answer

1st answer: x<2

2nd answer: x>1/3

1) 3x - 2 < 4

3x - 2 + 2 < 4 + 2

3x < 6

x < 2

2) 3x - 2 > -1

3x - 2 + 2 > -1 + 2

3x > 1

x > 1/3

therefore x < 2 AND x > 1/3. we can also write it as: 1/3 < x < 2.

the solution set = {x | 1/3 < x < 2}

(1/3 , 2)

2.....1/3