In this video, we explain explain the steps and rules used to solve linear inequalities.
The solutions to the following examples are presented in the video below.
Solve the inequalities and write the solution set using the inequality symbols, the number line (graphically) and the interval notation.
Example 1
\[ 2 x +1 \gt 5 \]
Example 2
\[ - 3 x + 4 \le x - 8 \]
Example 3
\[ - 2 (x - 5) \lt 3(x+2)-6 \]
Example 4
\[ \frac{3\left(x-1\right)}{2}\:\le \frac{x}{4}\:+\:\frac{1}{6} \]
Example 5
\[ 1\:\lt \:3x\:-\:2\:\ \lt\:4 \]
