Can we walk the answer?
By the end of this lesson
Draw x > a and x ≤ a on a number line (open vs closed circle, correct arrow), and solve x + b > c as a starter.
Remember
- Open circle ○ = the number is not included ( > or < ).
- Closed circle ● = the number is included ( ≥ or ≤ ).
- Arrow right = larger numbers. Arrow left = smaller numbers.
- x > 2 → open at 2, arrow right. x ≤ 5 → closed at 5, arrow left.
- x + 2 > 6 → subtract 2 → x > 4. (No negative multiply yet.)
Worked examples
Cover the answer. Try the steps on paper, then open them.
Example 1 — Draw x > 2
Describe the picture.
- Open circle at 2 (2 not allowed)
- Arrow to the right (3, 4, 10… allowed)
Answer: ○ at 2, arrow right
Check: 2.1 is allowed; 2 is not.
Example 2 — Draw x ≤ 5
Describe the picture.
- Closed circle at 5 (5 allowed)
- Arrow to the left
Answer: ● at 5, arrow left
Check: 5, 0, −3 are allowed; 6 is not.
Example 3 — Solve then draw
x + 2 > 6
- Subtract 2 both sides: x > 4
- Open circle at 4, arrow right
Answer: x > 4
Check: Check a sample: x = 5 → 7 > 6 true. x = 4 → 6 > 6 false.
Common mistakes
Slip Closed circle for x > 2.
Fix Greater-than is open. Equal is not invited.
Line under the symbol → closed.
Slip Arrow left for x > 2.
Fix Greater means to the right.
Numbers increase rightward.
Slip x + 2 > 6 → x > 8 (added 2 instead of subtracting).
Fix Undo +2 by subtracting: x > 4.
Same golden rule as equations.
Try on paper first
Write the answer, then tap Reveal. These are not the quiz — they are warm-ups.
1. Open or closed circle for x < 0?
Answer: Open at 0
2. Arrow which way for x < 0?
Answer: Left
3. x + 5 ≥ 9 → x …
Answer: ≥ 4
4. Does x > 4 allow 4?
Answer: No
Touch practice
8 tap / typeTap an option or type the answer. Retry any miss. Extra generated questions appear after the set if this topic allows it.
Optional picture lab
After practiceReal world
A road with km markers.
Connect
Indexes and positions in code.
⭐ Star quiz
9 questionsFinish the touch practice first if you can. Then answer without peeking. Read every “why”.