Verified Answer :

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  1. 3x-5<19 
        3x-5+5<19+5
        3x<24
        3x/3<24/3
        x<8

    2. -2x+12<-4
        -2x+12-12<-4-12
        -2x<-16
        -2x/-2>-16/-2
           x>8

    3. Because the numbers are positive when divided.

    4. The inequality sign is reversed because the 2nd to last step is divided by by a negative number. (This is also the same for multiplication)
     
    5. -7d+8>29
        -7d+8-8>29-8
        -7d/7>21/-7
           d>-3

    6.12-3b<9
       12-12-3b<9-12
        -3b/-3>-3/-3
            b>1

    7.z/7-6=>-5
       z/7-6+6=>-5+6
       z/77=>17
           z=>7                                      (what grade are you in?!)

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