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Solve for $b$ . $\newline$ $|b| - 9 = -5$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $b =$ _ or $b =$ _

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Solve absolute value equations

Full solution

Q. Solve for

b

.

\newline

|b| - 9 = -5

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

b =

_____ or

b =

_____

Isolate absolute value expression: First, we need to isolate the absolute value expression on one side of the equation. $\newline$ Add $9$ to both sides of the equation to get $|b|$ on one side. $\newline$ $|b| - 9 + 9 = -5 + 9$ $\newline$ $|b| = 4$
Consider absolute value definition: Now that we have $|b| = 4$ , we need to consider the definition of absolute value. $\newline$ The absolute value of a number is the distance from zero, so it can be either positive or negative. $\newline$ Therefore, $b$ can be $4$ or $-4$ . $\newline$ $b = 4$ or $b = -4$

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\newline

What are the solutions to the given equation?

\newline

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\newline

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\newline

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n=-\sqrt{3}

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\newline

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\newline

1

\newline

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\newline

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\newline

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