Misc 10 - Chapter 5 Class 11 Linear Inequalities
Last updated at April 16, 2024 by Teachoo
Solving on number line (two graphs)
Last updated at April 16, 2024 by Teachoo
Misc 10 Solve the inequalities and represent the solution graphically on number line: 5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47 Solving 5(2x – 7) – 3(2x + 3) ≤ 0 10x – 35 – 6x – 9 ≤ 0 4x – 44 ≤ 0 4(x – 11) ≤ 0 x – 11 ≤ 0/4 x – 11 ≤ 0 x ≤ 11 Solving 2x + 19 ≤ 6x + 47 2x – 6x ≤ 47 – 19 –4x ≤ 28 –x ≤ 28/4 –x ≤ 7 Since x is negative, we multiply both sides by −1 & change the signs (– 1) × (−x) ≥ (–1) × (7) x ≥ −7 Our equations are x ≤ 11 & x ≥ −7 The graphical representation is Here 11 & −7 are included in the shaded graph The solution of the system of equations is –7 ≤ x ≤ 11