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

75x+35≥7 (11x+9) + 4

Select from the drop-down menus to correctly justify each step.

75x+35≥7 (11x+9) + 4 Given

75x+35≥77x+63+4 Distributive Property

75x+35≥77x+67

-2x+35≥67 Subtraction Property of Order

-2x≥32

x≤-16

Question

Mathematics

Isabel Hinton

Today, 03:00

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

75x+35≥7 (11x+9) + 4

Select from the drop-down menus to correctly justify each step.

75x+35≥7 (11x+9) + 4 Given

75x+35≥77x+63+4 Distributive Property

75x+35≥77x+67

-2x+35≥67 Subtraction Property of Order

-2x≥32

x≤-16

+5

Answers (1)

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Booker · Answer 1

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]

What is the justification for each step in solving the inequality?75x+35≥7 (11x+9) + 4Select from the drop-down menus to correctly justify each step.75x+35≥7 (11x+9) + 4 Given75x+35≥77x+63+4 Distributive Property75x+35≥77x+67-2x+35≥67 Subtraction Property of Order-2x≥32x≤-16