Page 57 - Steady Mate Tg1 - Book A

Matematik Tingkatan 1 Bab 7 Ketaksamaan Linear

L Selesaikan setiap ketaksamaan yang berikut. TP 3 ARAS S
Solve each of the following inequalities.

Contoh 1. 4x + 2 . – 6 2. 1 – 2x < –5
4x + 2 – 2 . –6 – 2 1 – 2x – 1 < –5 – 1
3x – 2 . 1
3x – 2 + 2 . 1 + 2 4x . –8 –2x < – 6
4x –8 –2x –6
3x . 3 4 . 4 –2 > –2
3x 3
. x . –2
3 3 x > 3
x . 1

Contoh 3. 3x + 2 < 2 4. 3 – 2x . –3
4 2
2x – 5
< 3 3x + 2 3 – 2x
3 4 × 4 < 2 × 4 2 × 2 . –3 × 2
2x – 5
× 3 < 3 × 3 3x + 2 < 8 3 – 2x . – 6
3
2x – 5 < 9 3x + 2 – 2 < 8 – 2 3 – 2x – 3 . – 6 – 3
3x < 6 –2x . –9
2x – 5 + 5 < 9 + 5
3x 6 –2x –9
2x < 14 < ,
3 3 –2 –2
2x 14
< 1
2 2 x < 2 x , 4
2
x < 7

Contoh 5. 1 (x + 4) , 3 6. 3(1 – 2x) > 5
2
2(x – 3) , 8 1 3 – 6x > 5
x + 2 , 3
2x – 6 , 8 2 3 – 6x – 3 > 5 – 3
1
2x – 6 + 6 , 8 + 6 x + 2 – 2 , 3 – 2 –6x > 2
2x , 14 2 1 –6x 2
x , 1 <
2x 14 2 –6 –6
, 1
2 2 x × 2 , 1 × 2 1
2 x < –
x , 7 x , 2 3

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