Question

consider the following inequality:

\\-3z + 3 > -9\\

step 2 of 2: graph the solution to the given inequality.

Explanation:

Isolate the variable term

Using the Solving Linear Inequalities knowledge point

$$
LATEXBLOCK0
$$

Divide by the negative coefficient

Using the Inequality Sign Reversal knowledge point

$$
LATEXBLOCK1
$$

Determine the graph representation

Using the Solving Linear Inequalities knowledge point

• The inequality \(x < 4\) represents all real numbers strictly less than \(4\).
• On a number line, this is represented by an open circle at \(4\) and a shaded ray pointing to the left towards negative infinity \((-\infty, 4)\).

Answer:

To graph the solution to the inequality \(-3x + 3 > -9\):

1. Solve the inequality to find \(x < 4\).
2. Place an open circle at \(4\) on the number line.
3. Draw a shaded arrow pointing to the left towards negative infinity, representing the interval \((-\infty, 4)\).