Match each compound inequality with its solution.
-$x \geq 5 \text { or } x \geq 10$

Question

Quizplus · Accepted Answer

The compound inequality can be read as "x is greater than or equal to 5 or x is greater than or equal to 10." The solution is any value of x that satisfies either condition.

For example, x = 7 satisfies the first condition (x is greater than or equal to 5) but not the second (x is not greater than or equal to 10).

On the other hand, x = 12 satisfies both conditions because x is greater than or equal to both 5 and 10.

The solution set is therefore {x | x is greater than or equal to 5 or x is greater than or equal to 10}.

This can be simplified to {x | x is greater than or equal to 10}.

The second compound inequality (B) matches this solution set, while the first (A) includes extra values that are not part of the solution.

Match Each Compound Inequality with Its Solution x≥5 or x≥10x \geq 5 \text { or } x \geq 10x≥5 or x≥10

Match Each Compound Inequality with Its Solution $x \geq 5 \text { or } x \geq 10$