Question

15. Tarik's solution for the inequality 10 - 4x > 2 is shown below. Whichstatement about Tarik's solution is correct?

Answer 1

The given inequality is

$10-4x>2$

First, we subtract 10 from each side.

$\begin{gathered} 10-10-4x>2-10 \\ -4x>-8 \end{gathered}$

Then, we divide the inequality by -4.

$\begin{gathered} \frac{-4x}{-4}<\frac{-8}{-4} \\ x<2 \end{gathered}$

Hence, the solution is all real numbers less than 2.

Therefore, Tarik's solution is not correct because he did not reverse the inequality.

The first option is correct.