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Simplify the expression.

4+x+(-1)

Short Answer

Expert verified

4+x+(- 1)  =  x  +  3.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Commutative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

03

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expression4+x+-1, the term\[y\]is a variable.

The terms 4and (– 1) are constants.

Using the Commutative property of addition, adding like terms,

4+x+(−1)4+x−1[+(−1)=−1]x+(4−1)x+(−1+4)(CommutativePropertyofAddition)x+3

4+x+(- 1)  =  x  +  3

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