Select the postulate that is illustrated for the real numbers.

3x + 3 = 3(x + 1)

the commutative postulate for multiplication
multiplication by one
the addition inverse postulate
commutative postulate for addition
the distributive postulate
the addition of zero postulate
the multiplication inverse

The distributive postulate.

Step-by-step explanation:

We have been given an equation . We are asked to select the postulate that illustrated for the real numbers.

We know that distribute property of multiplication states that we can multiply a sum of numbers by multiplying each addend separately and finally add the products.

After distributing 3 over we will get,

Therefore, the correct choice is the distributive postulate.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.