Question

Solve inequalities using the addition and subtraction properties of inequality. And Solve three part inequalities.12x < -21answer from book. graph number line and and (a) {x | x < -7/4} (b) (-inf, -7/4)

Answer 1

Given the inequality;

$12x<-21$

Then, we will divide both sides of the inequality by 12;

$\begin{gathered} \frac{12x}{12}<-\frac{21}{12} \\ x<-\frac{7}{4} \end{gathered}$

The number line graph is;

The interval notation solution is;

$(-\infty,-\frac{7}{4})$