6. Think of an even number 2x and write algebraic expression for
a) The next odd number
b) The next even number
c) The previous even number
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B) is the answer
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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
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