Question

We need to graph inequalities on a number line and it's like reading Chinese to us. z ≤ 7 - 9

Answer 1

To graph the given inequality, here are the steps:

1. Simplify the numerical part of the inequality. In this case, it is 7 - 9.

`7-9=-2\Rightarrow z\leq-2`

2. Draw a solid dot on top of -2. If the inequality has an equal sign in it, our dot should be solid. Otherwise, it will be hollow. Since the given inequality is less than or equal to, our dot will be solid.

3. Since the inequality symbol is less than or equal to, the direction of the graph is to the left of the dot. Draw a line in this direction. Hence, the graph of the inequality is: