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Solve : |x+ 2| lt3...

Solve : ` |x+ 2| lt3`

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To solve the inequality \( |x + 2| < 3 \), we will follow these steps: ### Step 1: Understand the definition of absolute value The expression \( |x + 2| < 3 \) means that the distance of \( x + 2 \) from 0 is less than 3. This can be expressed as two inequalities: \[ -3 < x + 2 < 3 \]
To solve the inequality \( |x + 2| < 3 \), we will follow these steps: ### Step 1: Understand the definition of absolute value The expression \( |x + 2| < 3 \) means that the distance of \( x + 2 \) from 0 is less than 3. This can be expressed as two inequalities: \[ -3 < x + 2 < 3 \]
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