Chapter II, Problem 4E

(a)

To determine

To Find: The name of the property of the number system that enable to write the equation like $6x+3x=9x$ .

(b)

To determine

To Find: The name of the property of the number system that enable to write the equation like $7\left(6x+x\right)=7x+42x$ .

(c)

To determine

To Find: The name of the property of the number system that enable to write the equation like $\left(3x\right)\left(2y\right)=6xy$ .

(d)

To determine

To Find: The name of the property of the number system that enable to write the equation $x^2=0\text{or}{x}^2>0$ , for all real number x .