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Question

Which of the following values are part of the solution set of the inequality shown below?

2(x−4)<10

Move the values that could be part of the solution set to each box. Not all answers will be used.

Answer 1

To solve the inequality \(2(x - 4) < 10\), follow these steps:

1. Distribute the 2: \[ 2x - 8 < 10 \]

2. Add 8 to both sides: \[ 2x < 18 \]

3. Divide both sides by 2: \[ x < 9 \]

The solution set for the inequality is \(x < 9\).

Now, take any values and check if they are less than 9 to determine if they are part of the solution set.

If you provide specific values, I can help you sort them into the correct boxes based on whether they satisfy the inequality \(x < 9\).