Solutions on the number line: open and filled circlesसंख्या रेखा पर हल: खुला और भरा वृत्तSolutions on the number line: open and filled circles

Fig 5.1–5.3 · Class 11 Maths Ch 5 · interactive diagram

Parts and what they mean

• x < 3 — open circle (x < 3 — खुला वृत्त) — Strict sign (< or >): the end point is NOT included, so draw a hollow circle. Interval (−∞, 3).
• x ≥ −1 — filled circle (x ≥ −1 — भरा वृत्त) — ≤ or ≥: the end point IS included, so fill the circle (dark dot). Interval [−1, ∞).
• −1 ≤ x < 2 (−1 ≤ x < 2) — A double inequality: filled at −1, open at 2. Interval [−1, 2) (Example 9).

Original diagram drawn by Simple Learning Hub for NCERT Class 11 Maths Ch 5. Report a mistake