Number Line Inequality: Is K < F True or False?

Number Line Comparison with Variable Letters

True or False:

K<F K < F

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

True or False:

K<F K < F

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

2

Step-by-step solution

Let's locate the letters on the number line and see which numbers represent them:

K=5 K=5

F=0 F=0

Let's plot and observe that:

5<0 5 < 0

Therefore, the expression is incorrect.

3

Final Answer

False

Key Points to Remember

Essential concepts to master this topic
  • Position Rule: Right values are greater than left values on number lines
  • Technique: Find exact values: K = 5 and F = 0
  • Check: Compare positions: 5 is right of 0, so 5 > 0 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing letter order with number order
    Don't think K < F because K comes before F in the alphabet = wrong comparison! Letters on number lines represent specific numbers, not alphabetical order. Always find the actual number values first.

Practice Quiz

Test your knowledge with interactive questions

Fill in the corresponding sign

D ? J

AAA-6-6-6BBB-5-5-5CCC-4-4-4DDD-3-3-3EEE-2-2-2FFF-1-1-1GGG000HHH111III222JJJ333KKK444LLL555MMM666NNN777

FAQ

Everything you need to know about this question

How do I know which number each letter represents?

+

Look directly below each letter on the number line! The numerical values are clearly marked. In this problem, K is at position 5 and F is at position 0.

Does the alphabet order matter for number line problems?

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No! The alphabet order is completely irrelevant. Only the position of letters on the number line determines their mathematical relationship.

How do I remember which way inequalities work?

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Think of the inequality symbol as an arrow pointing to the smaller number. Also remember: numbers get larger as you move right on a number line.

What if the letters are between marked numbers?

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Estimate their position! If a letter is halfway between 2 and 3, its value is approximately 2.5 2.5 . Use the grid lines to help estimate.

Can two letters have the same value?

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Yes! If two letters are at the exact same position on the number line, they represent the same number, so you'd use the equals sign (=) instead of inequalities.

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