Solved Notes Unit 5: Linear Equations and Inequalities (PCTB / PECTAA) – Class 9th Part 1 SSC Matric New Book 2025-2026

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For Punjab boards (Lahore, Gujranwala, Rawalpindi, Faisalabad, Bahawalpur, Multan, Sargodha, Sahiwal, DG Khan) and top schools: The City School, Beaconhouse, Roots International, Lahore Grammar School (LGS), Karachi Grammar School, Froebel’s, The Educators, Army Public School (APS), Divisional Public School, Government Model School.

Exercise 5.1 – Equations (Q1)

(i) 12x + 30 = -6 → x = -3
(ii) x/3 + 6 = -12 → x = -54
(iii) x/2 – 3x/4 = 1/12 → x = -1/3
(iv) 2 = 7(2x+4) + 12x → x = -1
(v) (2x-1)/3 – 3x/4 = 5/6 → x = -14
(vi) -5x/10 = 9 – (10/5)x/10 → x = 6

Inequalities (Q2)

(i) x – 6 ≤ -2 → x ≤ 4
(ii) -9 > -16 + x → x < 7
(iii) 3 + 2x ≥ 3 → x ≥ 0
(iv) 6(x+10) ≤ 0 → x ≤ -10
(v) (5/3)x/3 – 3/4 < -1/12 → x < 2/5
(vi) (1/4)x/1 – 1/2 ≤ -1 + (1/2)x/1 → x ≥ 2

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