Qiuyun TMUA Simulation Test Paper 1 · Question 5

Community mocks

Qiuyun TMUA Simulation Test Paper 1 · Q5

Paper 1Algebra

$S$ is the complete set of values of $x$ which satisfy both the inequalities:

-x^2+4x-3\ge0\quad\text{and}\quad x\ge2.

The set $S$ can also be represented as a single inequality.

Which one of the following single inequalities represents the set $S$ ?

\dfrac{-x^2+4x-3}{x-2}\ge0

\dfrac{-x^2+4x-3}{x-2}\le0

(-x^2+4x-3)(x-2)\ge0

(-x^2+4x-3)(x-2)\le0

x^2-5x+6\ge0

x^2-5x+6\le0

x\ge2

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