Question

20 POINTS!!! A an elevator in a mine is going up and down. The inequality statements compare the elevation of the elevator at three different points.

–250 m < –131 m

–131 m < –102 m



Which statements comparing the elevations are true?



Select each correct statement.



An elevation of –131 m is lower than an elevation of –250 m .

An elevation of –102 m is higher than an elevation of –131 m .

An elevation of –250 m is lower than an elevation of –102 m .

An elevation of –131 m is higher than an elevation of –102 m

Answer 1

Comparing elevations below sea level, – 131 m is higher than – 250 m, and – 102 m is higher than – 131 m. The statement that an elevation of – 131 m is higher than an elevation of – 102 m is incorrect.

Step-by-step explanation:

When comparing elevations below sea level, a more negative number represents a lower elevation. Let's review the given inequalities and statements:

• – 250 m < – 131 m: This means an elevation of – 131 m is higher than an elevation of – 250 m since – 131 is less negative.
• – 131 m < – 102 m: This indicates that – 102 m is higher than – 131 m, again because – 102 is less negative.

Given these inequalities, we can determine which statements about the elevations are true:

• An elevation of – 131 m is higher than an elevation of – 250 m.
• An elevation of – 102 m is higher than an elevation of – 131 m.
• An elevation of – 250 m is lower than an elevation of – 102 m: This statement is true as well because – 250 is more negative than – 102.
• An elevation of – 131 m is higher than an elevation of – 102 m: This statement is false, as explained previously.

Answer 2

The answers:

B. An elevation of –102 m is higher than an elevation of –131 m .
and
C. An elevation of –250 m is lower than an elevation of –102 m .
are correct.

When using negative numbers, higher is lower because it is all opposite to positive numbers on a number line.