Questions: Graph the solution set of the inequality. x ≥ -3.4

Graph the solution set of the inequality. x ≥ -3.4
Transcript text: Graph the solution set of the inequality. \[ x \geq-3.4 \] The graph of the solution set is
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Solution

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Solution Steps

Step 1: Understand the Inequality

The given inequality is \( x \geq -3.4 \). This means that \( x \) can be any number greater than or equal to \(-3.4\).

Step 2: Identify the Boundary Point

The boundary point for this inequality is \(-3.4\). Since the inequality is \( \geq \), the boundary point \(-3.4\) is included in the solution set.

Step 3: Graph the Solution Set

To graph the solution set:

  1. Draw a number line.
  2. Mark the point \(-3.4\) on the number line.
  3. Since \(-3.4\) is included in the solution set, draw a closed circle at \(-3.4\).
  4. Shade the number line to the right of \(-3.4\) to indicate all numbers greater than \(-3.4\).

Final Answer

The graph of the solution set is a number line with a closed circle at \(-3.4\) and shading to the right of \(-3.4\).

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