We will look at how to evaluate inequalities in terms of a number line solution.
We have the following two inequalities:
[tex]3a\text{ + 9 > 21 or -2a + 4 > 16}[/tex]We will first solve each inequality separately for the variable ( a ) as follows:
[tex]\begin{gathered} 3a\text{ > 12 or -2a > 12} \\ \textcolor{#FF7968}{a}\text{\textcolor{#FF7968}{ > 4 or a < -6}} \end{gathered}[/tex]Now we will plot the solution on a number line as follows:
