Final answer:
The solution requires analyzing two given inequalities and combining their implications to find the unknown number. After solving both inequalities, the number that satisfies both conditions is 1, which corresponds to option C.
Step-by-step explanation:
The correct answer is option C. 1. We are given two conditions in this question. First, five times an unknown number is at least 5, which we can write as the inequality 5x ≥ 5. To find x, we simply divide both sides by 5, giving us x ≥ 1.
The second condition states that 5 more than the number exceeds 3, or x + 5 > 3. Solving for x in this inequality, we subtract 5 from both sides, resulting in x > -2. These two inequalities combined tell us that the number must be greater than -2 and also be at least 1, which leaves us with only one option from the given choices: 1.
The correct answer is option A.
To solve the problem, we can set up two equations based on the given information. Let the unknown number be represented by x.
From the first part of the problem, we can write the equation 5x ≥ 5. Dividing both sides of the inequality by 5, we have x ≥ 1. This means that the unknown number is at least 1.
From the second part of the problem, we can write the equation x + 5 > 3. Subtracting 5 from both sides of the inequality, we have x > -2. This means that the unknown number is greater than -2.
Combining the two inequalities, we have -2 < x ≥ 1. Therefore, the possible values for the unknown number are -1, 0, and 1. These values correspond to options A, B, and C respectively.