Using the graph find the values of \(p\) and \(q\) if \(px + qy \ge 4\)

Assessment: JAMB UTME - Mathematics - 2002 Subject: General Mathematics

Question 1 Report

Using the graph find the values of \(p\) and \(q\) if \(px + qy \ge 4\)

p = 2, q = -1

p = -1, q = 2

p = 2, q = 2

p = 1, q = 2

Answer Details

m = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}$

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} \geq m$

$\frac{y - 0}{x + 4} \geq \frac{1}{2}$

2y $\geq$ x + 4, -x + 2y $\geq$ 4 = px + qy $\geq$ 4

p = -1, q = 2

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Graphs Of Linear And Quadratic Functions (WAEC)

Solution Of Linear Equations

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