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.
