Question
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Determine if the inequality is true if \( x=4 \) \[ x+13<41 \]

Ask by Thornton Rogers. in the United States
Feb 18,2025

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Answer

When \( x = 4 \), the inequality \( x + 13 < 41 \) is true.

Solution

Solve the inequality by following steps: - step0: Solve for \(x\): \(x+13<41\) - step1: Move the constant to the right side: \(x<41-13\) - step2: Subtract the numbers: \(x<28\) To determine if the inequality \( x + 13 < 41 \) is true when \( x = 4 \), we can substitute \( x \) with 4 in the inequality and check the result. 1. Substitute \( x = 4 \) into the inequality: \[ 4 + 13 < 41 \] 2. Calculate the left side: \[ 4 + 13 = 17 \] 3. Now, we compare: \[ 17 < 41 \] Since 17 is indeed less than 41, the inequality is true when \( x = 4 \). Thus, the answer is **true**.

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Let's substitute \( x = 4 \) into the inequality: \[ 4 + 13 < 41 \] This simplifies to: \[ 17 < 41 \] Since 17 is indeed less than 41, the inequality is true when \( x = 4 \).

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