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Functions, EXT1 EQ-Bank 11

Solve the inequality  \((x-4)(x+2)(x-1) \geqslant 0\).   (2 marks)

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\(-2 \leqslant x \leqslant 1\  \cup\  x \geqslant 4\)

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\((x-4)(x+2)(x-1) \geqslant 0\)

\(\text{Zeros at} \ \ x=4, x=-2 \ \ \text{and}\ \  x=1\)

\(\text{At} \ \ x=0: \ (-4)(2)(-1)>0\)
 

\(\therefore \text{Graph}\ \geqslant 0 \ \text {for} \ -2 \leqslant x \leqslant 1\ \cup\ x \geqslant 4\)

Filed Under: Inequalities Tagged With: Band 3, smc-6643-05-Cubics, syllabus-2027

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