Solve the following inequalities(show the step,plz)

1. x-2<3
x<3+2
x<5

2. 2(x+1)<4
2x+2<4
2x<4-2
2x<2
x<2/2
x<1

3. 7x-9>9x+7
7x>9x+7+9
7x>9x+16
7x-9x>16
-2x>16
x<16/(-2) (Since -1 will be put on the other side, so the inequality will be reverse)
x<(-8)

4. x+3>2
x>2-3
x>(-1)