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represent the following sentence as an algebraic expression, where \a number\ is the letter x.
a number is increased by 1.

Explanation:

Step1: Identify the number

The number is represented by \( x \).

Step2: Interpret "increased by 1"

"Increased by 1" means we add 1 to the number. So we perform the operation \( x + 1 \).

Answer:

\( x + 1 \)