Question 10

x > -6/5

The solution to the inequality indicates that x must be greater than -6/5. This is derived from rearranging the original inequality to isolate x, confirming that values greater than -6/5 satisfy the condition.

A) x > -2

This option suggests that x is greater than -2. However, while this is a true statement, it does not accurately represent the solution to the given inequality, which is more restrictive than this option.

B) x > -6/5

This is the correct option as it matches the derived solution from the inequality. Values greater than -6/5 will satisfy the inequality, making this choice the accurate representation of the solution.

C) x < -2

This option implies that x must be less than -2. This is incorrect because it contradicts the solution derived from the inequality, which requires x to be greater than a specific value, not less.

D) x < -6/5

This choice states that x is less than -6/5. This option is incorrect as it also contradicts the solution derived from the inequality, which specifies that x must be greater than -6/5, not less.

Conclusion

The correct answer, B, is definitively right as it aligns with the inequality solution indicating that x must be greater than -6/5. All other options either suggest incorrect relationships or do not fulfill the requirement established by the inequality. Therefore, B is the only valid choice.