1.x - 6 to be positive, x must be > 6.
2. |5x - 2| > 4
of the >.
5x - 2 > 4 and 5x - 2 < -4
Both the solutions are possible answers.
3. Just like #1, the absolute value must be positive.
2x + 1.5 > 0
2x > -1.5
2x > -3/2 [I prefer to use a fraction here]
x > -3/4
4. |2x + 4| < 8.
2x + 4 < 8 and 2x + 4 > -8