tell whether this pair of expressions is equivalent
one half x plus the quantity x minus seven divided by two and x minus seven halfs
The pair of expressions is:
1) (1/2)x + (x - 7)/2
2) x - (7/2)
To determine if these expressions are equivalent, we can simplify each expression and compare them.
Simplifying the first expression:
(1/2)x + (x - 7)/2 = (1/2)x + (1/2)(x - 7)
= (1/2)x + (1/2)x - (7/2)
= x - (7/2)
Comparing this to the second expression:
x - (7/2)
We can see that the simplified forms of both expressions are the same:
x - (7/2)
Therefore, we can conclude that the pair of expressions is equivalent.