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Solve for $w$ . $\newline$ |2w| < 10 $\newline$ 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. $\newline$ ______

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Solve absolute value inequalities

Full solution

Q. Solve for

w

.

\newline

|2w| < 10

\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.

\newline

______

Isolate absolute value: We are given the inequality |2w| < 10 and we need to solve for $w$ . First, we will isolate the absolute value expression on one side of the inequality. |2w| < 10
Consider definition of absolute value: Next, we will consider the definition of absolute value. The absolute value of a number is less than $10$ if the number itself is between $-10$ and $10$ . So, we can write the inequality without the absolute value as: -10 < 2w < 10
Solve for $w$ by dividing: Now, we will solve for $w$ by dividing the entire inequality by $2$ , which is the coefficient of $w$ . $\newline$ -10 / 2 < 2w / 2 < 10 / 2 $\newline$ -5 < w < 5

More problems from Solve absolute value inequalities

Question

r

\newline

7|r| \geq 7

\newline

Write a compound inequality like

1 < x < 3

x < 1

x > 3

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

\newline

Posted 8 months ago

Question

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

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Question

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\newline

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

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Question

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\newline

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\newline

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1 < x < 3

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

\newline

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x < 1

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

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\newline

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Question

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Write a compound inequality like

1 < x < 3

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

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Question

t

\newline

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\newline

Write a compound inequality like

1 < x < 3

x < 1

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

\newline

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Question

r

\newline

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\newline

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

\newline

r =

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Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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