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Which of the following is not part of the solution set of the inequality

Which of the following is not part of the solution set of the inequality-example-1
User Yuhi
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2 Answers

2 votes

Answer:


x + 2 > 3 \\ x > 1

0 is not included in inequality,thus the answer is the first option.

Good luck!

Intelligent Muslim,

From Uzbekistan.

User Slwr
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2 votes

The only number that is not part of the solution set is 0 because it does not satisfy the inequality
\( x \geq 1 \). Option 1.

To determine which of the given numbers is not part of the solution set of the inequality
\( x + 2 \geq 3 \), we can solve the inequality step by step:

1. We start with the given inequality:


\[ x + 2 \geq 3 \]

2. To isolate x on one side of the inequality, we subtract 2 from both sides:


\[ x + 2 - 2 \geq 3 - 2 \]


\[ x \geq 1 \]

This means that any number greater than or equal to 1 is part of the solution set of the inequality.

3. Now, we look at the given options to determine which one is not a solution:

- 0 is less than 1, so 0 is not part of the solution set.

- 2 is greater than 1, so 2 is part of the solution set.

- 3 is greater than 1, so 3 is part of the solution set.

- 6 is greater than 1, so 6 is part of the solution set.

User Bagelman
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