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

Respuesta :

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

Please give brainliest!

Answer:

The correct justification is as follows.

The given expression is : [tex]75x+35\geq 7(11x+9)+4[/tex]

1. [tex]75x+35\geq 7(11x+9)+4[/tex] - given

2.[tex]75x+35\geq 77x+63+4[/tex]  - this is distributive property(expanding brackets)

3. [tex]75x+35\geq 77x+67[/tex] - combining the like terms together.        

4. [tex]-2x+35\geq 67[/tex] - This is subtraction property of order(subtracting 77x)

5. [tex]-2x\geq 32[/tex] - again the same subtraction property

6. [tex]x\leq -16[/tex] - division property

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