Number Line Inequality: Comparing Position of Points K and A on -5 to 5 Scale

Q: How do I read points on a number line correctly?

Look directly below each point to find its numerical value. Point A sits above -5, so A = -5. Point K sits above +5, so K = +5. The position tells you the value!

Q: Why is -5 less than +5 if A is on the left?

On number lines, left means smaller and right means larger. Since -5 is left of +5, we know -5 \( K means 5

Q: What's the difference between position and value?

Position is where the point sits on the line (left/right). Value is the actual number below it. Always use the numerical values when solving inequalities, not just the visual positions.

Q: How do I check if an inequality is true or false?

Substitute the actual values: K = 5 and A = -5. So K \( 5 . Since 5 is greater than -5, this statement is false.

Q: Can negative numbers ever be greater than positive numbers?

No! All positive numbers are always greater than all negative numbers. For example: +1 > -100, +0.1 > -50, etc. Remember: negatives are always smaller than positives.

Number Line Inequalities with Negative Values

$K < A$

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Understand the problem

$K < A$

Step-by-step solution

We must first identify the numerical representation of the point on the number line:

$K=5$

$A=-5$

Now we compare the two numbers:

$5 < -5$

It appears that the answer is not correct.

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic

Number Line Rule: Smaller numbers are positioned to the left of larger numbers
Reading Technique: Point A is at -5, point K is at +5, so -5 < +5
Check: Verify K < A means 5 < -5, which is false ✓

Common Mistakes

Avoid these frequent errors

Confusing position with value when comparing negative numbers
Don't assume leftmost point has smaller value when comparing K < A! Position A is leftmost at -5, but -5 is actually smaller than K's value of +5. Always identify the numerical values first, then apply inequality rules correctly.

Practice Quiz

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What is the distance between 0 and F?

FAQ

Everything you need to know about this question

How do I read points on a number line correctly?

Look directly below each point to find its numerical value. Point A sits above -5, so A = -5. Point K sits above +5, so K = +5. The position tells you the value!

Why is -5 less than +5 if A is on the left?

On number lines, left means smaller and right means larger. Since -5 is left of +5, we know -5 < +5. The inequality $K < A$ means 5 < -5, which is false.

What's the difference between position and value?

Position is where the point sits on the line (left/right). Value is the actual number below it. Always use the numerical values when solving inequalities, not just the visual positions.

How do I check if an inequality is true or false?

Substitute the actual values: K = 5 and A = -5. So K < A becomes $5 < -5$ . Since 5 is greater than -5, this statement is false.

Can negative numbers ever be greater than positive numbers?

No! All positive numbers are always greater than all negative numbers. For example: +1 > -100, +0.1 > -50, etc. Remember: negatives are always smaller than positives.

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