Question

Which inequality is a true statement?

Select each correct answer.

−4=−5

−4<−5

−4≤−5

−4>−5

−4≥−5

Answer 1

The true inequalities are −4>−5 and −4≥−5, since in the context of negative numbers, negative four is greater than negative five.

Step-by-step explanation:

The question deals with understanding inequalities between two negative numbers. In the list of inequalities provided, we need to identify which statements correctly compare −4 and −5.

• −4≠−5: This states that negative four is equal to negative five, which is false.
• −4<−5: This states that negative four is less than negative five, which is false because the more negative a number is, the less its value.
• −4≤−5: This states that negative four is less than or equal to negative five, which is again false.
• −4>−5: This states that negative four is greater than negative five, which is true. When comparing negative numbers, the number with the higher absolute value is actually the smaller number, so −4 is greater than −5.
• −4≥−5: This states that negative four is greater than or equal to negative five, which is also true as −4 is equal to itself and greater than −5.

Therefore, the true statements are "−4>−5" and "−4≥−5".

Answer 2

-4 > -5
-4 > = -5

with negative numbers, the larger the number, the smaller it is...unlike positive numbers, the large the number the bigger it is