SOLUTION: Identify the property being demonstrated in each term. 1. x = y; z → x = z 2. 4 · 8 = 8· 4 3. 6(3 + 7) = 18 + 42 4. Given the numbers -8 and 6: -8 < 6 5. 2 + (4 +11

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Identify the property being demonstrated in each term. 1. x = y; z → x = z 2. 4 · 8 = 8· 4 3. 6(3 + 7) = 18 + 42 4. Given the numbers -8 and 6: -8 < 6 5. 2 + (4 +11      Log On


   



Question 1179599: Identify the property being demonstrated in each term.
1. x = y; z → x = z
2. 4 · 8 = 8· 4
3. 6(3 + 7) = 18 + 42
4. Given the numbers -8 and 6: -8 < 6
5. 2 + (4 +11) = (2 + 4) + 11
6. 14 + 6 = 6 +14
7. 5 < 7; 7 <13 → 5 < 13
8. Given x > y and the number 3: 3x > 3y
9. Given x €R, x = x
10. (5 · 12) · 6 = 5 · (12 · 6)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
x+=+y; z (here should be z=y) → x+=+z =>transitive property
If x+=+y, and y+=+z, than x+=+z
2.4%2A8+=+8%2A4=>Commutative Property of Multiplication
xy+=+yx
3. 6%283+%2B+7%29+=+18+%2B+42=>distributive property of multiplication over addition
x%28y+%2B+z%29+=+xy+%2B+xz

4. Given the numbers+-8+and+6: -8+%3C+6+=>transitive property
If x+=+y, and y+=+z, than x+=+z
5. 2+%2B+%284+%2B11%29+=+%282+%2B+4%29+%2B+11=>associative property of addition
%28x+%2B+y%29+%2Bz+=+x+%2B+%28y+%2B+z%29
6. 14+%2B+6+=+6+%2B14=>Commutative Property of Addition
x+%2B+y=+y+%2B+x

7. 5+%3C+7; 7+%3C135+%3C+13=>transitive property
If x+%3Cy, and y+%3C+z, than x+%3C+z

8. Given x+%3E+y+and the number 3: 3x+%3E+3y=>multiplicative property
if x+%3E+y+and the number a: ax+%3E+ay
9. Given xR, x+=+x=> reflexive property
10. %285+%2A+12%29+%2A6+=+5+%2A%2812+%2A6%29=>associative property of multiplication
%28xy%29z+=+x%28yz%29