Question 1179599


1. 
{{{x = y}}}; {{{z}}} (here should be {{{z=y}}}) → {{{x = z}}} =>transitive property
If {{{x = y}}}, and {{{y = z}}}, than {{{x = z}}}

2.{{{4*8 = 8*4}}}=>Commutative Property of Multiplication
{{{xy = yx}}}

3. {{{6(3 + 7) = 18 + 42}}}=>distributive property of multiplication over addition

{{{x(y + z) = xy + xz}}}


4. Given the numbers{{{ -8 }}}and{{{ 6}}}: {{{-8 < 6 }}}=>transitive property
If {{{x = y}}}, and {{{y = z}}}, than {{{x = z}}}

5. {{{2 + (4 +11) = (2 + 4) + 11}}}=>associative property of addition

{{{(x + y) +z = x + (y + z)}}}

6. {{{14 + 6 = 6 +14}}}=>Commutative Property of Addition
{{{x + y= y + x}}}


7. {{{5 < 7}}}; {{{7 <13}}} → {{{5 < 13}}}=>transitive property
If {{{x <y}}}, and {{{y < z}}}, than {{{x < z}}}


8. Given {{{x > y }}}and the number {{{3}}}: {{{3x > 3y}}}=>multiplicative property
if {{{x > y }}}and the number {{{a}}}: {{{ax > ay}}}

9. Given {{{x}}} € {{{R}}}, {{{x = x}}}=>  reflexive property  

10. {{{(5 * 12) *6 = 5 *(12 *6)}}}=>associative property of multiplication
{{{(xy)z = x(yz)}}}