Question

. Which statement cannot be justified by one
of the properties of real numbers?
A. (a + b) + c = a + b + c)
B. a - (b + c) = (a - b) + C.
c. (able = a(bo)
D. (a + b) + 0 = 0 + (a + b)

Answer 1

Answer:

as

• $a-\left(b+c\right)=a-b-c$

so

the statement B i.e.  $a\:-\:\left(b\:+\:c\right)\:=\:\left(a\:-\:b\right)\:+\:c$  can not be justified by one

of the properties of real numbers.

Step-by-step explanation:

The statement B cannot be justified by one  of the properties of real numbers,

Given the statement

$a\:-\:\left(b\:+\:c\right)\:=\:\left(a\:-\:b\right)\:+\:c$

solving the L.H.S of the above equation

$a\:-\:\left(b\:+\:c\right)$

Distribute Parenthesis

$=a\:-\left(b\right)-\left(c\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-b\right)=-b, +\left(-c\right)=-c$

$=a-b-c$

so

$a-\left(b+c\right)=a-b-c$

Therefore, $a\:-\:\left(b\:+\:c\right)\:=\:\left(a\:-\:b\right)\:+\:c$  can not be justified by one

of the properties of real numbers.