Final Answer:
The correct algebraic inequality is A. 2x + 1 < 44, representing "1 more than twice x is less than 44." Options B, C, and D do not accurately capture the given condition. The solution is (x < 21.5), confirming the correctness of option A.
Step-by-step explanation:
The sentence "1 more than twice x is less than 44" can be translated into the algebraic inequality by following the order of operations. First, we interpret "twice x" as 2x, and then we add 1 to that result. Mathematically, this is expressed as (2x + 1). Finally, this expression should be less than 44 according to the given sentence. Therefore, the correct inequality is (2x + 1 < 44), which corresponds to option A.
Now, let's verify this choice by solving the inequality. Subtracting 1 from both sides gives (2x < 43), and dividing both sides by 2 results in (x < 21.5). This solution aligns with the original sentence, confirming that option A is the correct representation of the given condition.
In option B, the inequality is written as (11 > 2(x - 44), which is not consistent with the original sentence's structure. Options C and D also deviate from the correct representation of the given condition. Therefore, option A stands as the accurate algebraic inequality for the provided sentence.
Therefore, the correct option is option A.