6. Think of an even number 2x and write algebraic expression fora) The next odd numberb) The next even numberc) The previous even number About the author Eloise

Step-by-step explanation: Consider the number sequence 1, 2, 3, 4, 5 here 2,4 are even and 1,3,5 are odd 2x is even by substituting x = Z where Z is an integer a) To find next odd number, odd number occurs after every number. so, by adding 1 to even number, we can get an odd number. expression is 2x + 1 b) To find next even number, next even number occurs after moving 2 forward from the current even number. For eg, current even number is 2. next even number is 4 which is obtained by moving 2 steps forward expression is 2x + 2 c) Same as in b) but go 2 steps backward. expression is 2x – 2 Reply

Step-by-step explanation:Consider the number sequence 1, 2, 3, 4, 5

here 2,4 are even and 1,3,5 are odd

2x is even by substituting x = Z where Z is an integer

a) To find next odd number, odd number occurs after every number. so, by adding 1 to even number, we can get an odd number.

expression is

## 2x + 1

b) To find next even number, next even number occurs after moving 2 forward from the current even number.

For eg, current even number is 2. next even number is 4 which is obtained by moving 2 steps forward

expression is

## 2x + 2

c) Same as in b) but go 2 steps backward.

expression is

## 2x – 2

B) is the answer

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