Functions, EXT1 EQ-Bank 11 Solve the inequality \((x-4)(x+2)(x-1) \geqslant 0\). (2 marks) --- 8 WORK AREA LINES (style=lined) --- Show Answers Only \(-2 \leqslant x \leqslant 1\ \cup\ x \geqslant 4\) Show Worked Solution \((x-4)(x+2)(x-1) \geqslant 0\) \(\text{Zeros at} \ \ x=4, x=-2 \ \ \text{and}\ \ x=1\) \(\text{At} \ \ x=0: \ (-4)(2)(-1)>0\) \(\therefore \text{Graph}\ \geqslant 0 \ \text {for} \ -2 \leqslant x \leqslant 1\ \cup\ x \geqslant 4\)