Exercise for HKDSE(Inequalities)(3).pdf

HKDSE Exercise

MATHEMATICS (Core)

By HENRY LEUNG

HKDSE Mathematics Exercise Topic: Inequalities 1. Solve the inequalities 3 x−8>

2. Solve

{

18−5 x or 5(x+2)>x+2 . 3

3 (x−3)− x≤−5 4 . 2 2− ( 3−x )>4 3

{

2 x−1 3x ≤4− 3. a) Solve 3 2 . 3 x+4> x−2 b) Furthermore, if x is a positive integer, list out all possible x . 4. Solve the inequality x 2+2 x−15 x+6 .

15. Using the figure below, solve −2( x −α )(x− β )≤0 .

16. a) Solve u 2−u−6≤0 . b) Hence, or otherwise, solve ( x 2−4 x−2) 2−( x 2−4 x−2)−6≤0 .

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By HENRY LEUNG

HKDSE Exercise

MATHEMATICS (Core)

Answer x>−2 1. x≥11 2. 3. a) −3