These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Solving a Quadratic Inequality

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.

Show health and safety information

Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.

Information on the permitted use of this resource is covered by the Category Three Content section in STEM Learning’s Terms and conditions.

Lists that tag this content