Victoria is running a fundraising campaign for the local community center. Her goal is to raise more than $5,500. If the campaign has already raised $2,324, which of the following inequalities can be solved to find x, the amount of money that still needs to be raised for Victoria to meet her goal? Choose 1 answer: (A) x-2,324 5,500 (B) 2,324+x 5,500 (c) x-2,324

Question

Victoria is running a fundraising campaign for the local community center. Her goal is to raise more than $5,500. If the campaign has already raised $2,324, which of the following inequalities can be solved to find x, the amount of money that still needs to be raised for Victoria to meet her goal? Choose 1 answer: (A) x-2,324 > 5,500 (B) 2,324+x > 5,500 (c) x-2,324 < 5,500 (D) 2,324+x < 5,500

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Problem Understanding: Understand the problem. Victoria has a goal to raise more than $5,500 for the local community center. She has already raised $2,324. We need to find out how much more money, represented by x, needs to be raised to exceed the goal of $5,500.Inequality Setup: Set up the inequality. The total amount raised will be the sum of the amount already raised ($2,324) and the additional amount that needs to be raised (x). Since the goal is to raise more than $5,500, the inequality will show that the sum of $2,324 and x must be greater than $5,500.Writing the Inequality: Write the inequality. The correct inequality that represents the situation is 2,324 + x > 5,500. This inequality states that the amount already raised plus the amount that still needs to be raised must be greater than the goal of $5,500.Checking the Answer Choices: Check the answer choices. We compare the inequality we have written with the answer choices provided: (A) x - 2,324 > 5,500 (This is incorrect because it suggests subtracting the amount already raised from the additional amount needed, which does not make sense in this context.) (B) 2,324 + x > 5,500 (This is the correct inequality as it matches our inequality from Step 3.) (C) x - 2,324 < 5,500 (This is incorrect because it suggests that the additional amount needed minus the amount already raised should be less than the goal, which is not the goal of the campaign.) (D) 2,324 + x < 5,500 (This is incorrect because it suggests that the total amount raised should be less than the goal, which is contrary to the campaign's objective.)

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