examday

Community mocks

tmua.co.uk TMUA Mock Paper 1 · Q14

Paper 1Algebra

Let aa and bb be positive real numbers. For every real xx the following inequality holds:

a≤41+ex+11+e−x+1≤b.a\le\frac4{1+e^x}+\frac1{1+e^{-x}}+1\le b.

What is the minimum possible value of b−ab-a?

A11
B22
C33
D44
E55
F2121
G2323

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →