Question

Which graph matches the inequality 14x - 2| < 8x?0-10-8-6-46810-4--10-8-6068 10-10-8-6248 10None of these choices are correct

Answer 1

Write the given expression as

`-4x+2<8x<4x-2`

On simplifying,

`\begin{gathered} -4x-8x+2<0<4x-8x-2 \\ -12x+2<0<-4x-2 \end{gathered}`

On futher solving this,

`\begin{gathered} -12x<-2 \\ x<2 \end{gathered}`

Also,

`\begin{gathered} -4x-2>0 \\ -4x>2 \\ x>-(1)/(2) \end{gathered}`

Hence the graph is 1)