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What is the justification for each step in solving the inequality?


75x+35≥7(11x+9)+475x+35≥7(11x+9)+4


75x+35≥7(11x+9)+475x+35≥7(11x+9)+4


75x+35≥77x+63+475x+35≥77x+63+4


75x+35≥77x+6775x+35≥77x+67


−2x+35≥67−2x+35≥67 −2x≥32−2x≥32


x≤−16x≤−16

Verified Answer :

nobillionaireNobley

75x+35≥7(11x+9)+475x+35≥7(11x+9)+4

75x+35≥77x+63+475x+35≥77x+63+4        [expand all blackets]

75x+35≥77x+6775x+35≥77x+67                [collect like terms]

−2x+35≥67−2x+35≥67 −2x≥32−2x≥32       [subtract 77x through]

x≤−16x≤−16
[subtract 35 through and divide through by 2]

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