IGCSE Maths Edexcel A 4MA1

2.8: Inequalities

#2.8A

understand and use the symbols >,<, ⩾ and ⩽

*To include double-ended inequalities

e.g. 1<x51 < x \leq 5*

#2.8B

understand and use the convention for open and closed intervals on a number line

#2.8C

solve simple linear inequalities in one variable and represent the solution set on a number line

3x2<103x - 2 < 10, so x<4x < 4

7x57 - x \leq 5, so x2x \leq 2

3<x+253 < x + 2 \leq 5, so 1<x31 < x \leq 3

#2.8D

represent simple linear inequalities on rectangular Cartesian graphs

Shade the region defined by the inequalities x0x \geq 0, y1y \geq 1, x+y5x + y \leq 5

#2.8E

identify regions on rectangular Cartesian graphs defined by simple linear inequalities

Conventions for the inclusion of boundaries are not required

#2.8F

solve quadratic inequalities in one unknown and represent the solution set on a number line

x225x^2 \leq 25

4x2>254x^2 > 25

x2+3x+2>0x^2 + 3x + 2 > 0

#2.8G

identify harder examples of regions defined by linear inequalities

Shade the region defined by the inequalities  x4~x \leq 4, y2x+1y \leq 2x + 1, 5x+2y205x + 2y \leq 20

2.7
Quadratic equations
3.1
Sequences