Question

Use the dropdown to complete the following inequality.

1. C+2 > 0
2. C+2 < 1
3. C+2 > -1
4. Not applicable.

Answer 1

The correct inequality for the given statements is C+2 > -1 which is satisfied by any value of C greater than -2, fulfilling the requirement that when adding 2 to C, the result is greater than 0.

Step-by-step explanation:

The question requires evaluating inequalities and determining which inequality is correct. An inequality symbol can be used to show how two quantities are related in size. For example, the correct inequality for the first statement, C+2 > 0, is satisfied by any value of C that is greater than -2. Using what is known from mathematical properties, if C is larger than -1, then adding 2 must result in a value greater than 1 (C + 2 > -1 + 2 = 1). Therefore, option 3 (C+2 > -1) is the correct answer because if C+2 > 0, it must also be true that C+2 is greater than -1 as 0 is greater than -1.