Question

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Explanation:

Step1: Analyze the inequality solution

The solution to the inequality \(x + 6<10\) is \(x < 4\). For graphing on a number line:

• Since the inequality is \(x<4\) (not \(x\leq4\)), we use an open circle at \(4\) to indicate that \(4\) is not included in the solution set.
• The arrow should point to the left (towards negative infinity) to represent all numbers less than \(4\).

Step2: Graph the solution

1. Locate the number \(4\) on the number line.
2. Draw an open circle at \(4\) (because \(x = 4\) does not satisfy \(x<4\)).
3. Draw an arrow starting from the open circle and going to the left (indicating all values of \(x\) less than \(4\)).

Answer:

To graph the solution set \(x < 4\):

• Place an open circle at \(4\) on the number line.
• Draw an arrow pointing to the left from the open circle to show all real numbers less than \(4\) are part of the solution.