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The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus

–3(4−6x)<x+5 ​Given

−12+18x<x+5 ​

−12+17x<5 ​ Subtraction Property of Order

17x<17 ​

​ x<1

Respuesta :

 Statement                                       Reason

1.  [tex]-3(4-6x)<x+5[/tex]                   Given

2. [tex]-12+18x<x+5[/tex]                   Distributive property of multiplication over addition

Let 'a', 'b' and 'c' be any real numbers. So, Distributive property of multiplication over addition states a(b+c) = ab + ac

3. [tex]-12+17x<5[/tex]                      Subtraction property of order

4. [tex]17x < 17[/tex]                          Addition property of equality

The addition property of equality states that if the same number is added to both sides of an equation, then the equation is still true.

5.  x<1                                             Division property of equality

The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the equation remain equal.

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