Nusret Balcı TMUA Paper 1 · Question 19

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Nusret Balcı TMUA Paper 1 · Q19

Paper 1Logic & proofAlgebra

Consider the following inequality:

m|x|+1\le(x-3)^2+8

where $m$ is a real constant.

Which one of the following describes the complete set of values of $m$ such that the inequality is true for all real $x$ ?

m\le\frac73

m\le2

m\le\frac53

m\le\frac32

m\le\frac43

m\le1

m\le\frac12

HThere are no such values of

m

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