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

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

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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