Indicate whether each of the following equations is sure to have a solution set of all real numbers. explain your
answers for each.
a. 3(x + 1) = 3x + 1
b. x + 2 = 2 + x
c. 4x(x + 1) = 4x + 4x²
d. 3x(4x)(2x) = 72x³

a) is not a valid equality. So a) will not have a solution set of all real numbers.

b) is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c) is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d) is only valid for . So d) will not have a solution set of all real numbers.

Step-by-step explanation:

a)

is not a valid equality. So a) will not have a solution set of all real numbers.

b)

is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c)

is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d)

This is only valid for . So d) will not have a solution set of all real numbers.

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.