May/June 2026 Paper 22

2026 · 8 questions · 12 parts · 50 marks

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5(a)Modulus Functions EquationsMedium4 marks

Solve the inequality

∣4 x - 7∣ \leq ∣2 x + 3∣

.

Lower bound:

x ⩾

Upper bound:

x ⩽

5(b)Modulus Functions EquationsMedium3 marks

Hence, find the smallest and largest integers,

N

, that satisfy the inequality

4 ln (\frac{1}{2} N) - 7 \leq 2 ln (\frac{1}{2} N) + 3 .

Working

0 words

Smallest integer

N

Largest integer

N