Question

Error Analysis Describe and correct the error in solving the inequality 4x > 6x + 3.

Short answer

The correct solution is $x<-1.5$.

Step-by-step solution

Step-1 – Given

The given inequality is $4x>6x+3$.

Step-2 – To determine

We have to solve the inequality for x.

Step-3 – Calculation

We first subtract 4x and 3 from both sides then divide both sides by 2.

$4x>6x+3$

$\begin{array}{l}4x-4x-3>6x+3-3-4x\\ -3>2x\\ x<\frac{-3}{2}\\ x<-1.5\end{array}$

So, the correct solution of $4x>6x+3$ is $x<-1.5$.