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Edexcel IGCSE Math A Higher 2.8 Inequalities Questions

Use this inequalities page to solve linear or quadratic inequalities, represent answers on number lines and write inequalities for graph regions.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Solve linear or quadratic inequalities and keep the inequality sign correct.
  • Represent a solution such as w < 1 on a number line with the correct endpoint.
  • Write inequalities that define a shaded region bounded by straight lines.

Covered syllabus points

2.8.A Inequality symbols and compound inequalities2.8.B Open and closed intervals2.8.C Solving linear inequalities2.8.D Linear inequalities on Cartesian graphs2.8.E Regions defined by linear inequalities2.8.HA Solving quadratic inequalities2.8.HB Harder regions defined by linear inequalities

Question 1

[Maximum number: 4]

Question (a)

(a)

Write down the integer values of x that satisfy the inequality −2<x⩽4-2<x \leqslant 4

The region R, shown shaded in the diagram, is bounded by three straight lines.

Diagram NOT accurately drawn

Diagram NOT accurately drawn

[ 2 ]

Question (b)

(b)

Write down the three inequalities that define the region R.

[ 2 ]

Question 2

[Maximum number: 4]

Question (a)

(a)

Write down the inequality shown on the number line

Figure for Question (a) — Edexcel IGCSE Math A Higher
[ 1 ]

Question (b)

(b)

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

Figure for Question (b) — Edexcel IGCSE Math A Higher

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

2x+y=62y=5x+13y+2x=4\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
12312×325=3m123^{\frac{1}{2}} \times 3^{\frac{2}{5}}=3^{m}

[ 3 ]
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