Question

If 2 - 4x < -6 , what are the possible values for 2x -1?

• A. All values less than 3
• B. All values greater than 3
• C. All values less than -3
• D. All values greater than -3

Answer 1

The correct option is B All values greater than 3

$2-4x<-6$
$\Rightarrow 2(1-2x)<-6$
$\Rightarrow (1-2x)<-3$ (on division by 2)
$\Rightarrow (2x-1)>3$ (on multiplication with -1), multiplying with a negative number inverts the inequality.
Hence, B is the correct choice