Edexcel IGCSE Math A 2.8.C Linear Inequalities in One Variable

Practise solving one-variable linear inequalities and representing single or compound solution sets on a number line.

Exam points

collect the variable terms while applying the same operation to both sides
reverse the inequality sign only when multiplying or dividing by a negative
use open or closed endpoints to match strict or inclusive inequalities

[Maximum number: 3]

Solve the inequality 7 w+6>12 w+14

Figure for Question 2.8.C Solving linear inequalities question 1 — Edexcel IGCSE Math A Higher

The region R, shown shaded in the diagram, is bounded by the straight lines with equations

\begin{aligned} 2 x+y & =6 \\ 2 y & =5 x+1 \\ 3 y+2 x & =4 \end{aligned}

Write down the three inequalities that define R
$123^{\frac{1}{2}} \times 3^{\frac{2}{5}}=3^{m}$

6-14>12w-7w
or
7w-12w>14-6

M1. Condone = rather than >, or any other sign for this mark.

-8>5w
or
-5w>8
or
$-w>\frac{8}{5}$
or
$w>-\frac{8}{5}$
or
$w=-\frac{8}{5}$

M1. Condone = rather than >, or any other sign for this mark.

Final answer:
$w<-\frac{8}{5}$

A1. Accept $-\frac{8}{5}>w$ . Correct sign required on answer line.

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2.8.C Solving linear inequalities question 1