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5 April, 22:36

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

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  1. 5 April, 22:52
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    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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