Question

solve the inequality. then graph the solution on a number line -3< - 3(2x -1)a. x > ?b. x ≥ ?c. x < ?d. x ≤ ?

Answer 1

The inequality to solve is:

$-3<-3\mleft(2x-1\mright)$

We distribute in Right-Hand-Side and solve the inequality normally as an equation. The process is shown below:

$\begin{gathered} -3<-6x+3 \\ 6x<3+3 \\ 6x<6 \\ x<\frac{6}{6} \\ x<1 \end{gathered}$

Thus, the correct answer is x < 1

We can say Option C is right, with x < 1