solve the inequalities below below....?

Question

1) 2x > -6
2) x - 4 < 3
3) x + 5 > 2x + 1
4) -4x < -8
5) -3x < -6
6) x + 5 < -2
7) x - 2 > 2x + 1
8) -2x - 2 < -10

Answer 1

1. x>-3
2.x<7
3.4>x
4. x<2
5. x<2
6.x<-7
7.-3>x
8.x<4

1. get x by itself by dividing -6 by 2. that leaves -3
2. add 4 to opp. side which is 3 to get 7
3. sub x from 2x to get x. Then subtract 1 from 5.
4. divide -4 from -8 to get 2.
5. divide -3 from -6 to get 2.
6. subtract 5 from -2 to get -7.
7. subtract x from 2x to get x. then subtract 1 from -2 to get -3.
8. add 2 to -10 to get -8. then divide -8 by -2 to get 4.

Answer 2

1. x > -3
2. x < 7
3. x < 4
4. x < 2
5. x < 2
6. x < -7
7. x < -3
8. x < 4