Chapter 1.6, Problem 2ACYP

To determine

To Find: The solution for the inequality and its graph on the number line.

Answer to Problem 2ACYP

The required solution is $j\ge -7,j\ge 3$ and the inequality is shown in Figure 1

Explanation of Solution

Given:

The given inequality is $5j\ge 15$ or $-3j\ge 21$ .

Calculation:

Consider the given inequality is,

  $5j\ge 15$

Solve as,

  $\begin{array}{l}j\ge \frac{15}{5}\\ j\ge 3\end{array}$

Consider the given inequality is,

  $-3j\ge 21$

Solve as,

  $\begin{array}{l}j\ge \frac{21}{-3}\\ j\ge -7\end{array}$

The inequality is shown in Figure 1

  

Figure 1