Chapter 6, Problem 8CCSR

To determine

To find the number which is a solution of the inequality $8>3x-1$ .

Answer to Problem 8CCSR

Solution is 0 & option F is correct.

Explanation of Solution

Given:

  $8>3x-1$

Calculation:

  $\begin{array}{l}8>3x-1\\ \Rightarrow 8+1>3x-1+1\left[\text{Adding}\text{1}\right]\\ \Rightarrow 9>3x\\ \Rightarrow \frac{9}{3}>\frac{3x}{3}\left[\text{Dividing}\text{by}\text{3}\right]\\ \Rightarrow 3>x\\ \Rightarrow x<3\end{array}$

Therefore all real numbers less than 3 are the solutions of given inequality.

Therefore 0 is the solution of given inequality.

Hence option F is correct.