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Solve for $d$ . $\newline$ $-|d| < -20$ $\newline$ Write a compound inequality like $1 < x < 3$ or like $x < 1$ or $x > 3$ . Use integers, proper fractions, or improper fractions in simplest form.

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Solve absolute value inequalities

Full solution

Q. Solve for

d

.

\newline

-|d| < -20

\newline

Write a compound inequality like

1 < x < 3

or like

x < 1

or

x > 3

. Use integers, proper fractions, or improper fractions in simplest form.

Isolate absolute value term: We have the inequality: $\newline$ $-|d| < -20$ $\newline$ First, we need to isolate the absolute value term. To do this, we can divide both sides of the inequality by $-1$ , remembering that dividing by a negative number reverses the inequality sign. $\newline$ $-|d| / -1 > -20 / -1$
Divide by $-1$ : After dividing by $-1$ , we get: $\newline$ $|d| > 20$ $\newline$ This means that $d$ is greater than $20$ or less than $-20$ .
Write compound inequality: Now we can write the compound inequality. Since $|d| > 20$ , $d$ can either be greater than $20$ or less than $-20$ . This gives us two inequalities: $\newline$ $d > 20$ or $d < -20$

More problems from Solve absolute value inequalities

Question

u

\newline

|u| - 4 \geq 6

\newline

\newline

Write a compound inequality like

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. Use integers, proper fractions, or improper fractions in simplest form.

\newline

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Question

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\newline

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\newline

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\newline

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\newline

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\newline

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Question

Given the definitions of

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\newline

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\newline

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Question

t

\newline

|t + 8| \leq 4

\newline

Write a compound inequality like

1 < x < 3

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. Use integers, proper fractions, or improper fractions in simplest form.

\newline

Posted 1 month ago