Question

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

Answer 1

75x+35≥7(11x+9)+4 Given

75x+35≥77x+63+4 Distributive Property

75x+35≥77x+67 Combine like terms

−2x+35≥67 Subtraction Property of Order

−2x≥32 Subtraction Property of Order

x≤−16 Division Property of Order

Explanation:

Answer 2

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]