What is the solution to the inequality shown?

Rationale

x > 1

To solve the inequality, we find that the values satisfying the expression must be greater than 1, making this the correct solution.

A (x > 1) CORRECT

This choice correctly represents the solution to the inequality, indicating that any value of x greater than 1 is valid. By evaluating the inequality, we confirm that the expression holds true for all numbers exceeding 1, establishing it as the correct answer.

B (x < 1) YOUR ANSWER

This choice suggests that the solution set includes values less than 1. However, this contradicts the inequality, as values below 1 do not satisfy the given condition, making this option incorrect.

C (x = 1) YOUR ANSWER

This option indicates that x is equal to 1. While it may seem logical, the inequality implies a strict inequality where x must exceed 1, thus excluding 1 itself as a solution. Hence, this option is not valid.

D (There is no solution) YOUR ANSWER

This choice implies that the inequality has no valid solutions, which is incorrect. We have established that there are indeed solutions where x is greater than 1, making this option false.

Conclusion

The solution to the inequality is correctly identified as x > 1, meaning all values greater than 1 satisfy the condition. The other choices either misinterpret the nature of inequalities or incorrectly assert no valid solutions, reinforcing that x > 1 is the only correct interpretation.

What is the solution to the inequality shown?

x > 1

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test