Which statement is symmetric?Hint: Reflexive Property: a = aSymmetric Property: If a = b, then...
Joanna Mueller
Answered
2022-07-17
Which statement is symmetric?
Hint: Reflexive Property: a = a
Symmetric Property: If a = b, then b = a
Transitive Property: If a b and b = c, then a = c
Distributive Property: a(b+c) = ab + ac
A)24=24
B)4(x+2)=4x+8
C)13+7=7+13
Hint: Reflexive Property: a = a
Symmetric Property: If a = b, then b = a
Transitive Property: If a b and b = c, then a = c
Distributive Property: a(b+c) = ab + ac
A)24=24
B)4(x+2)=4x+8
C)13+7=7+13
Answer & Explanation
Seromaniaru
Expert
2022-07-18Added 12 answers
Symmetric Property:
The Symmetric Property states that for all real numbers a and b if a = b then b=a.
From statement C) 13 + 7 = 7 + 13
Given numbers 13 and 7 are the real numbers then their addition 20 is also a real number.
13 + 7 = 20
20 = 7 + 13
so, 13 + 7 = 7 + 13
Hence the given statement satisfies symmetric property
so, the statement C) 13 + 7 = 7 + 13 is symmetric.
The Symmetric Property states that for all real numbers a and b if a = b then b=a.
From statement C) 13 + 7 = 7 + 13
Given numbers 13 and 7 are the real numbers then their addition 20 is also a real number.
13 + 7 = 20
20 = 7 + 13
so, 13 + 7 = 7 + 13
Hence the given statement satisfies symmetric property
so, the statement C) 13 + 7 = 7 + 13 is symmetric.
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