Question

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

Answer 1

 Statement                                       Reason

1.  $-3(4-6x)$                   Given

2. $-12+18x$                   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. $-12+17x$                      Subtraction property of order

4. $17x < 17$                          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.