Solve the Inequality: Finding Values of A Where -4 > A on a Number Line

Q: Why is -4 greater than -5 when 4 is less than 5?

With negative numbers, think about temperature! -4°F is warmer (greater) than -5°F. The number closer to zero is always larger, so -4 > -5.

Q: How do I use the number line to compare negatives?

Numbers get larger as you move right on the number line. Since -4 is to the right of -5, we know -4 > -5. This works for all number comparisons!

Q: What does the inequality -4 > A mean?

This means -4 is greater than A. From the number line, A = -5, and since -4 > -5, the inequality $ -4 > A $ is true.

Q: How can I remember which negative number is bigger?

Use the debt analogy: owing $4 (represented as -4) is better than owing $5 (represented as -5). So -4 > -5!

Q: Do I need to solve for A first?

Yes! First identify A's value from the number line (A = -5), then substitute into the inequality to check if $ -4 > -5 $ is true.

Inequality Comparison with Number Lines

$-4>A$

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Understand the problem

$-4>A$

Step-by-step solution

We begin by locating the numerical representation of the letter on the number line:

$A=-5$

We then compare the two numbers:

$-4 > -5$

It appears that the answer is indeed correct.

Final Answer

True

Key Points to Remember

Essential concepts to master this topic

Rule: On number lines, larger numbers are positioned to the right
Technique: Compare positions: -4 is right of -5, so -4 > -5
Check: Verify by substituting A = -5: -4 > -5 is true ✓

Common Mistakes

Avoid these frequent errors

Confusing negative number comparisons
Don't think -5 > -4 because 5 > 4 = wrong comparison! With negatives, the number closer to zero is larger. Always remember that -4 is greater than -5 because -4 is to the right on the number line.

Practice Quiz

Test your knowledge with interactive questions

$$ 5 < -5 $$

FAQ

Everything you need to know about this question

Why is -4 greater than -5 when 4 is less than 5?

With negative numbers, think about temperature! -4°F is warmer (greater) than -5°F. The number closer to zero is always larger, so -4 > -5.

How do I use the number line to compare negatives?

Numbers get larger as you move right on the number line. Since -4 is to the right of -5, we know -4 > -5. This works for all number comparisons!

What does the inequality -4 > A mean?

This means -4 is greater than A. From the number line, A = -5, and since -4 > -5, the inequality $-4 > A$ is true.

How can I remember which negative number is bigger?

Use the debt analogy: owing $4 (represented as -4) is better than owing $5 (represented as -5). So -4 > -5!

Do I need to solve for A first?

Yes! First identify A's value from the number line (A = -5), then substitute into the inequality to check if $-4 > -5$ is true.

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