QuestionAugust 24, 2025

Solve for all values of b in simplest form. vert 5+bvert =1 Answer b=square

Solve for all values of b in simplest form. vert 5+bvert =1 Answer b=square
Solve for all values of b in simplest form. vert 5+bvert =1 Answer b=square

Solution
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Answer

b=-4, -6 Explanation 1. Set up the absolute value equation The equation \vert 5+b\vert =1 implies two cases: 5+b=1 and 5+b=-1. 2. Solve the first case For 5+b=1, subtract 5 from both sides to get b=1-5. 3. Simplify the first case Simplifying gives b=-4. 4. Solve the second case For 5+b=-1, subtract 5 from both sides to get b=-1-5. 5. Simplify the second case Simplifying gives b=-6.

Explanation

1. Set up the absolute value equation<br /> The equation $\vert 5+b\vert =1$ implies two cases: $5+b=1$ and $5+b=-1$.<br />2. Solve the first case<br /> For $5+b=1$, subtract 5 from both sides to get $b=1-5$.<br />3. Simplify the first case<br /> Simplifying gives $b=-4$.<br />4. Solve the second case<br /> For $5+b=-1$, subtract 5 from both sides to get $b=-1-5$.<br />5. Simplify the second case<br /> Simplifying gives $b=-6$.
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