iGCSE (2021 Edition)

# 4.08 Graphical solutions of equations and inequalities

## Interactive practice questions

Consider the graph of $y=2x+6$y=2x+6.

Using the graph, state the solution of the inequality $2x+6\ge0$2x+60.

Easy
Less than a minute

Consider the graph of $y=x-6$y=x6.

Consider the graph of $y=5x+3$y=5x+3.

Consider the equation $2\left(x-1\right)-3=7$2(x1)3=7.

### Outcomes

#### 0606C1.3

Understand the relationship between y = f(x) and y = |f(x)|, where f(x) may be linear, quadratic or trigonometric.

#### 0606C3.4

Sketch the graphs of cubic polynomials and their moduli, when given in factorised form y = k(x – a)(x – b)(x – c).