Question

Janet solved the inequality and was asked to express her answer in set notation. Determine ifshe made a mistake, correct the mistake if she made one and create the correct expression inset notation.-X - 2 <-3-x < -1x < -1Set Notation: {x | x < -1}

Answer 1

It is given that:

$\begin{gathered} -x-2<-3 \\ -x-2+2<-3+2 \\ -x<-1 \\ x>1 \end{gathered}$

So she made a mistake in the last step.

The answer should be x>1

The set notation will be:

$\mleft\lbrace x|x>1\mright\rbrace$