Select all the inequality statements that are true.

$-5>-3.5$

$-3>-5$

$-6>2$

$2>-6$

$-3.5>-3$

$-3>-3.5$

The true inequality statements are -5"> − 3 > − 5 , -6"> 2 > − 6 , and -3.5"> − 3 > − 3.5 . The false statements are -3.5"> − 5 > − 3.5 , 2"> − 6 > 2 , and -3"> − 3.5 > − 3 . Understanding these comparisons helps clarify how numbers relate to each other on the number line.
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Answered by Anonymous | 2025-07-07

-5, 2>-6, -3>-3.5}"> − 3 > − 5 , 2 > − 6 , − 3 > − 3.5 ​

Explanation

Analyze the problem We need to evaluate each inequality statement to determine which ones are true.

Evaluate each inequality Let's analyze each inequality:

-3.5"> − 5 > − 3.5 is false because -5 is to the left of -3.5 on the number line.

-5"> − 3 > − 5 is true because -3 is to the right of -5 on the number line.

2"> − 6 > 2 is false because -6 is to the left of 2 on the number line.

-6"> 2 > − 6 is true because 2 is to the right of -6 on the number line.

-3"> − 3.5 > − 3 is false because -3.5 is to the left of -3 on the number line.

-3.5"> − 3 > − 3.5 is true because -3 is to the right of -3.5 on the number line.

Identify true statements The true inequality statements are:



-5"> − 3 > − 5
-6"> 2 > − 6
-3.5"> − 3 > − 3.5

Examples
Understanding inequalities is crucial in many real-life situations. For example, when managing a budget, you might use inequalities to ensure that your expenses do not exceed your income. If your income is I and your expenses are E , the inequality E"> I > E ensures you're not overspending. Similarly, in cooking, inequalities help maintain the correct proportions of ingredients. If a recipe calls for at least 2 cups of flour but no more than 3, you can represent this as 2 ≤ flour ≤ 3 . These concepts extend to more complex scenarios, such as optimizing resource allocation or setting safety limits in engineering.

Answered by GinnyAnswer | 2025-07-07