System of inequalities: the common partअसमिकाओं का निकाय: उभयनिष्ठ भागSystem of inequalities: the common part

Example 11 · Class 11 Maths Ch 5 · interactive diagram

Parts and what they mean

• Inequality (1) gives x < 6 (असमिका (1) से x < 6) — Subtract x and add 7: 2x < 12, so x < 6. Open circle at 6.
• Inequality (2) gives x ≥ 2 (असमिका (2) से x ≥ 2) — −5x ≤ −10. Dividing by −5 REVERSES the sign: x ≥ 2.
• Solution of the system (निकाय का हल) — Only the values satisfying BOTH: the overlap [2, 6).

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