Questions: Match each expression with its number line graph. x ≤ 1 w^x>-2

Match each expression with its number line graph. x ≤ 1 w^x>-2
Transcript text: Match each expression with its number line graph. \[ x \leq 1 \] \[ w^{x>-2} \]
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Solution

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Solution Steps

Step 1: Identify the inequality for the first graph
  • The first graph shows a number line with a filled circle at 1 and shading to the left, indicating all values less than or equal to 1.
  • This corresponds to the inequality \( x \leq 1 \).
Step 2: Identify the inequality for the second graph
  • The second graph shows a number line with an open circle at -2 and shading to the right, indicating all values greater than -2.
  • This corresponds to the inequality \( x > -2 \).
Step 3: Match the inequalities to the graphs
  • The first graph matches with \( x \leq 1 \).
  • The second graph matches with \( x > -2 \).

Final Answer

  • The first graph corresponds to \( x \leq 1 \).
  • The second graph corresponds to \( x > -2 \).
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