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
What is the justification for each step in the solution of the equation?

4(4x+6)−7=77−4x

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

4(4x+6)−7=77−4x Given
16x+24−7=77−4x Distributive Property
16x+17=77−4x Combine like terms
20x+17=77
20x=60
x=3

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 
What is the justification for each step in the solution of the equation?

4(4x+6)−7=77−4x

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

4(4x+6)−7=77−4x Given
16x+24−7=77−4x Distributive Property
16x+17=77−4x Combine like terms
20x+17=77 
20x=60 
x=3

Vocaloid · Answer

Super old question but might as well attempt this anyway

Since the last three steps are using basic operators on both sides of the equation (subtraction/division) perhaps the subtraction/division properties of equality?