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

All negative numbers appear on the number line to the left of the number 0.

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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