Answer:
Division property of inequality: x > - 9
Step-by-step explanation:
Given, the inequality 4(x-3)+ 4 < 10+6x
Distributive property: a. (b+c)=a.b+a.c
The distributive property : 4x-12+4 < 10+ 6x
The combin like terms : 4x-8 <10+6x
Adding property: when we add two integers then we get a new value of an integer.
The addition property of inequality: 4x <18+6x
Subtraction property: when we subtract an ineteger number from other ineteger number then we get a new integer value.
4x-6x < 18
By subtraction property : -2x < 18
Division Property : when a dividened divided by divisor we get the value of quotient .
-2x < 18
-x < [tex]\frac{18}{2}[/tex]
-x < 9
after multiplying by -1 we get
x > -9
Because when we multiply by negative sign on both side of inequality then the sign of inequality changes.
Hence, The division property of inequality: x > -9.
