Question

Question was provided via image upload.

Explanation:

Identify the given information

The problem asks to find which system of linear inequalities has the point \((3, -2)\) in its solution set.

However, the options (the systems of inequalities) are not visible in the provided image.

Formulate the condition for a solution

For a point \((x, y) = (3, -2)\) to be in the solution set of a system of linear inequalities, it must satisfy every inequality in that system simultaneously.

This means we substitute:

• \(x = 3\)
• \(y = -2\)

into each inequality of a given system and check if all resulting statements are true.

Provide a general verification method

If a system is given by:

$$
LATEXBLOCK0
$$

We substitute the coordinates to verify:

$$
LATEXBLOCK1
$$

Only the system where both inequalities hold true contains the point \((3, -2)\) in its solution set.

Answer:

To determine which system of linear inequalities has the point \((3, -2)\) in its solution set, substitute \(x = 3\) and \(y = -2\) into each inequality of the given options.

The correct system is the one where both inequalities are true statements after substitution.

(Note: Please provide the options or the rest of the image to identify the specific system.)