Multiply by positive x² (assuming x≠0): 4x < x³/4 → multiply by 4: 16x < x³ → x³ - 16x > 0 → x(x²-16)>0 → x(x-4)(x+4)>0. Critical points -4,0,4. Test intervals: x<-4: negative; -4<x<0: positive; 0<x<4: negative; x>4: positive. Also x≠0. So solution: -4 < x < 0 or x > 4.

Break down complex topics into smaller, manageable chunks for easier recall.

Zambia

• Joseph Soko – 101 pts

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