Questions: Which number line illustrates the problem below? x = -1 - (-2) - 3

Which number line illustrates the problem below? x = -1 - (-2) - 3
Transcript text: Which number line illustrates the problem below? \[ x=-1-(-2)-3 \]
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Solution

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Solution Steps

Step 1: Simplify the Expression Inside the Parentheses

The given expression is \( x = -1 - (-2) - 3 \). First, simplify the expression inside the parentheses: \[ -(-2) = 2 \]

Step 2: Substitute and Simplify Further

Substitute \( 2 \) back into the expression: \[ x = -1 + 2 - 3 \]

Step 3: Perform the Addition and Subtraction

Now, perform the addition and subtraction step by step: \[ -1 + 2 = 1 \] \[ 1 - 3 = -2 \]

Final Answer

The value of \( x \) is \(-2\). The number line that illustrates this problem is the one that starts at \(-1\), moves 2 units to the right to reach \(1\), and then moves 3 units to the left to reach \(-2\). This corresponds to option B.

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