Questions: Choose the graph that represents the given inequality. x > -3

Choose the graph that represents the given inequality. x > -3
Transcript text: Choose the graph that represents the given inequality. $x>-3$
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Solution

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Solution Steps

Step 1: Understand the Inequality

The given inequality is \( x > -3 \). This means that \( x \) can be any number greater than -3.

Step 2: Identify the Correct Graph

To represent \( x > -3 \) on a number line:

  • The number line should have an open circle at -3 (indicating that -3 is not included).
  • The arrow should point to the right (indicating all numbers greater than -3).
Step 3: Compare with Given Options

Examine the provided graphs:

  • The first graph has an open circle at -3 and an arrow pointing to the right.
  • The second graph has a closed circle at -3 and an arrow pointing to the right.
  • The third graph has an open circle at -3 and an arrow pointing to the left.

Final Answer

The correct graph is the first one, which has an open circle at -3 and an arrow pointing to the right.

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