CAIE IGCSE Mathematics Extended E2.6 Inequalities

Covered syllabus points

[Maximum number: 6]

(a)

Write down the inequality shown by the number line.

[ 1 ]

$-2<x\leqslant4$ oe

(b)

$-3\leqslant2x+3<9$

[ 5 ]

(i)

Solve the inequality.

[ 3 ]

$-3\leqslant x<3$ final answer
M2 for correct intermediate inequality;
SC1 for one side correct

(ii)

Write down all the integer values of x that satisfy the inequality.

[ 2 ]

[Maximum number: 3]

Solve.

$11x-3\geqslant2(2x+9)$

$x\geqslant3$
final answer
B1 for $7x\geqslant21$ or better
B1 for correct inequality handling

[Maximum number: 1]

Region R satisfies the three inequalities $y \geqslant 0, y \leqslant x$ and $x+y \geqslant 7$ . On the grid, label the region R .

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