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The mathematical solution explains how to solve the quadratic inequality 3x[sup]2[/sup] – 10x ≥ 8 by forming, and finding the roots of, the quadratic equation 3x[sup]2[/sup] – 10x - 8 = 0. This equation is solved by factorisation. The curve y = 3x[sup]2[/sup] – 10x - 8 is then sketched and the regions of x for which the value of y is greater than zero are shaded. To complete the solution the regions of x which satisfy the inequality are written algebraically.

The graphical solution explains how to use the graphic calculator to draw the graph of y = 3x[sup]2[/sup] – 10x - 8 and find the roots in order to solve the given inequality.

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