How do you solve compound inequalities
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How do you solve compound inequalities

[From: ] [author: ] [Date: 11-08-19] [Hit: ]
......
1) -6<3x<15

2) -3<2x-1<7

3) 2d+5≤-1 or -2d+5≤5

Can you please show your work on how to do them? Thank you! :)

-
-6<3x<15
-6/3<3x/3<15/3
-2
-3<2x-1<7
-3+1<2x-1+1<7+1
-2<2x<8
-2/2<2x/2<8/2
-1
2d+5≤-1 or -2d+5≤5
2d+5-5≤-1-5 or -2d+5+(2d-5)≤5+(2d-5)
2d≤-6 or 0≤2d
2d/2≤ -6/2 or 0≤d
d≤-3 or 0≤d
1
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