Inequalities
Hong Kong
Stage 4 - Stage 5
Solve polynomial inequalities
Interactive practice questions
We want to find the x-values that satisfy the inequality$\left(x-3\right)\left(x-2\right)<0$(x−3)(x−2)<0.
a
Find the $x$x-values of the $x$x-intercepts of the curve described by $y=\left(x-3\right)\left(x-2\right)$y=(x−3)(x−2).
Write both answers on the same line separated by commas.
b
Find the $y$y-value of the $y$y-intercept of the curve.
c
Hence plot the curve for $y=\left(x-3\right)\left(x-2\right)$y=(x−3)(x−2).
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d
Hence solve the inequality $\left(x-3\right)\left(x-2\right)<0$(x−3)(x−2)<0.
Easy
6min
We want to solve $x^2-x-2>0$x2−x−2>0 by plotting the associated parabola $y=x^2-x-2$y=x2−x−2.
Easy
4min
We want to solve $-x^2+2x+3\le0$−x2+2x+3≤0 by first plotting the associated parabola $y=-x^2+2x+3$y=−x2+2x+3.
Easy
4min
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