GCSE Secondary Maths Age 13-17 - Algebra: Inequality - Explained

The video tutorial explains how to solve the quadratic inequality 2x^2 + 3x - 2 > 0. It begins with an introduction to quadratic graphs, highlighting the positive, negative, and zero sections. The teacher then factorizes the quadratic equation to find its roots, sketches the graph, and identifies the regions where the graph is positive. The tutorial concludes with a discussion on the solutions and the allocation of marks for the question.

What are the three sections of a quadratic graph?

• Left, Right, and Center

• Increasing, Decreasing, and Constant

• Above, Below, and On the x-axis

• Positive, Negative, and Zero

What is the first step in solving the quadratic inequality 2x^2 + 3x - 2 > 0?

• Graph the equation

• Factorize the quadratic

• Find the vertex

• Complete the square

What are the roots of the equation 2x^2 + 3x - 2 = 0?

• x = 2 and x = -1/2

• x = 1/2 and x = -2

• x = 1 and x = -2

• x = -1 and x = 2

How does the graph of a quadratic equation with a positive x^2 term look?

• It is a straight line

• It is an upside-down parabola

• It is a circle

• It is a right-side-up parabola

For the inequality 2x^2 + 3x - 2 > 0, which x-values make the graph positive?

• x > 1/2 and x < -2

• x < 1/2 and x > -2

• x = 1/2 and x = -2

• x > 0 and x < 0