Solve eqach of the following inequalities. Represent the solutions algebraically and on a number line.

1. $2 | 3 x - 5 | \geq 4$

   Hint (a):

   See problem 5-63 for more examples of inequality problems.

2. $\frac { 1 } { 3 } ( 3 x - 6 ) ^ { 3 } + 4 < 13$

   Hint (b):

   See part (a).

   Answer (b):

   $\frac{1}{3}(3\textit{x}-6)^{3}<9$

   $\left(3x − 6\right)^{3} \lt 27$

   $3x − 6 \lt 3$

   $x \lt 3$

   Plot the boundary point on a number line.