Which of the following inequalities is the solution to the inequality below?

Rationale

x > -6/5

To solve the inequality, we can rewrite it in a simpler form or graph it on a number line, allowing us to identify the correct range for x. The solution indicates that x must be greater than -6/5, which means any value larger than this number will satisfy the inequality.

A (x > -2) YOUR ANSWER

This inequality suggests that x must be greater than -2. However, -2 is a larger value than -6/5, which means it does not accurately represent the solution to the original inequality. In fact, any number greater than -2 would also be greater than -6/5, but not all values greater than -2 will satisfy the original inequality.

B (x > -6/5) CORRECT

This inequality correctly represents the solution to the original inequality, indicating that any value of x greater than -6/5 will satisfy the condition. This aligns with the requirement of the inequality, making it the correct choice.

C (x < -2) YOUR ANSWER

This inequality states that x must be less than -2. This contradicts the original inequality, as any value less than -2 would not satisfy the condition of being greater than -6/5. Therefore, this choice is incorrect.

D (x < -6/5) YOUR ANSWER

This choice implies that x must be less than -6/5. Similar to option C, this does not satisfy the original inequality since it restricts x to values below -6/5, which is opposite to the requirement of being greater than this value.

Conclusion

The correct inequality that represents the solution to the given problem is x > -6/5. This solution indicates that x can take on any value greater than -6/5, which accurately fulfills the requirement of the inequality. The other options do not satisfy the condition and therefore cannot be considered valid solutions.

Which of the following inequalities is the solution to the inequality below?

x > -6/5

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