A. Justify each statement by
giving the Property of
Equality used.
1. BX = BX
2. If x= 8, then 8 = x
3.8(m + n) = 8m + 8n
4. If x-5 = 2,
then x-5+5=2+5.
5. If x=5 then 3x=15
giving the Property of
Equality used.
1. BX = BX
2. If x= 8, then 8 = x
3.8(m + n) = 8m + 8n
4. If x-5 = 2,
then x-5+5=2+5.
5. If x=5 then 3x=15
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Answer:
1.Property of Reflexivity - Anything is equal to itself. In this case, BX is equal to BX, as it is the same object or point.
2.Property of Symmetry - If a=b, then b=a. In this case, the statement "x=8" is equivalent to "8=x" by the property of symmetry.
3.Distributive Property of Multiplication over Addition - Multiplying a number by the sum of two other numbers is the same as multiplying the number by each addend separately and then adding the products. In this case, 8(m+n) can be rewritten as 8m + 8n by using the distributive property.
4.Property of Addition - If a=b, then a+c = b+c. In this case, x-5 = 2 can be rewritten as x-5+5 = 2+5 by adding 5 to both sides of the equation.
5.Substitution Property - If a=b, then a can be substituted for b in any expression. In this case, we substitute x=5 into 3x to get 3(5)=15.
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