TMUA 2019 Paper 2 Q18 — Worked Solution

P2·Inequalities, Functions, Transformations & Graphs·7.0Official · 2019 · Q18

modulus-inequalityfor-all-xgraph-reasoning

Consider the inequality

(*) : a ∣ x ∣ + 1 \leq ∣ x - 2∣,

where

a

is a real constant. Which one of the following describes the complete set of values of

a

such that

(*)

is true for all real

x

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