Question

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.

Answer 1

`-2(x + 3) - 4 \ \textgreater \ 4x + 30` : Given

`-2x - 6 - 4 \ \textgreater \ 4x + 30` : Distributive property

`-2x - 10 \ \textgreater \ 4x + 30` : Combine like terms

`-6x - 10 \ \textgreater \ 30` : Subtract

`-6x \ \textgreater \ 40` : Add

`x \ \textless \ - (20)/(3)` : divide

Answer 2

-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