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What is the solution set to the inequalities on the graph? (1 point) $x<$ $\square$ or $x>$ $\square$ Check answer Remaining Attempts : 2 View previous attempt

Studdy Solution

STEP 1

1. The graph represents the solution set of inequalities on a number line.
2. Open circles on the number line indicate that the values at those points are not included in the solution set (strict inequalities).
3. Shading on the number line indicates the regions where the inequalities hold true.

STEP 2

1. Identify the critical points from the graph.
2. Determine the direction of shading relative to the critical points.
3. Write the inequalities based on the shaded regions.

STEP 3

Identify the critical points from the graph. The critical points are where the open circles are located, which are at $x = -2$ and $x = 2$ .

STEP 4

Determine the direction of shading relative to the critical points. The graph is shaded to the left of $x = -2$ and to the right of $x = 2$ .

STEP 5

Write the inequalities based on the shaded regions. The shaded regions indicate the following: - To the left of $x = -2$ , the inequality is $x < -2$ . - To the right of $x = 2$ , the inequality is $x > 2$ .
Thus, the solution set to the inequalities is: $x < -2 \quad \text{or} \quad x > 2$
Solution: $x < -2$ or $x > 2$

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