We get (-1 3/4)x - 5 as an equivalent expression to (1/2)x + (-7) - 2 1/4x - (-2), using the commutative property.
What is commutative property?
The commutative property signifies that the order of terms in mathematical or algebraic expressions does not matters. It applies only to addition and multiplication operations, and not to subtraction and division operations.
How to solve the given question?
In the question, we are asked to get an expression, equivalent to the expression, (1/2)x + (-7) - 2 1/4x - (-2).
To get an equivalent expression, we simplify the given expression.
(1/2)x + (-7) + (- 2 1/4x) - (-2)
= (1/2)x + (- 2 1/4x) + (-7) - (-2) (Using commutative property)
= (2/4)x + (-9/4)x - 7 + 2 (Simplifying)
= (-7/4)x - 5 (Simplifying)
= (-1 3/4)x - 5 (Simplifying)
∴ We get (-1 3/4)x - 5 as an equivalent expression to (1/2)x + (-7) - 2 1/4x - (-2), using the commutative property.
Learn more about the commutative property at
brainly.com/question/778086
#SPJ2
