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What is the reason for each step in the solution of the inequality?

−2(x+3)−4>4x+30

Select the reason for each step from the drop-down menus.

2nd picture is drop down box answers.

What is the reason for each step in the solution of the inequality 2x34gt4x30 Select the reason for each step from the dropdown menus 2nd picture is drop down b class=
What is the reason for each step in the solution of the inequality 2x34gt4x30 Select the reason for each step from the dropdown menus 2nd picture is drop down b class=

Respuesta :

texaschic101
-2(x + 3) - 4 > 4x + 30 : Given
-2x - 6 - 4 > 4x + 30 : distributive property
-2x - 10 > 4x + 30 : combine like terms
-6x - 10 > 30 : subtraction property
-6x > 40 : addition property
x < -20/3 : division property
[tex]-2(x + 3) - 4 \ \textgreater \ 4x + 30[/tex] : Given
[tex]-2x - 6 - 4 \ \textgreater \ 4x + 30[/tex] : Distributive property
[tex]-2x - 10 \ \textgreater \ 4x + 30[/tex] : Combine like terms
[tex]-6x - 10 \ \textgreater \ 30[/tex] : Subtract
[tex]-6x \ \textgreater \ 40[/tex] : Add 
[tex]x \ \textless \ - \dfrac{20}{3} [/tex] : divide 

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