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Question 1 of 5: Simplify each.
$${-}|{-}21|$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-21$$
B
$$21$$
C
$$0$$
D
$$1$$
E
$$-1$$
Question 2 of 5: Solve the inequality for x:
$$|x| > 15$$
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A
$$-15 < x < 15$$ $$(-15, 15)$$
B
$$x > 15$$ $$(15, \infty)$$
C
$$x < -15$$ $$(-\infty, -15)$$
D
$$x < -15 \hspace{.2em}\text{or}\hspace{.2em}x > 15$$ $$(-\infty, -15) ∪ (15, \infty)$$
E
$$-\infty < x < \infty$$ $$(-\infty, \infty)$$
Question 3 of 5: Solve the inequality for x:
$$|x| < -1$$
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A
$$-1 < x < 1$$ $$(-1, 1)$$
B
$$\text{No Solution}$$ $$∅$$
C
$$-\infty < x < \infty$$ $$(-\infty, \infty)$$
D
$$x < -1 \hspace{.3em}\text{or}\hspace{.3em}x > 1$$ $$(-\infty, -1) ∪ (1, \infty)$$
E
$$x > 1$$ $$(1, \infty)$$
Question 4 of 5: Find the distance between Q and R:
Let Point "Q" have a coordinate of 11 on the real number line.
Let Point "R" have a coordinate of 19 on the real number line.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$209$$
B
$$30$$
C
$$-8$$
D
$$1.7\overline{27}$$
E
$$8$$
Question 5 of 5: Find the distance between P and Q:
Let Point "Q" have a coordinate of -1 on the real number line.
Let Point "R" have a coordinate of -2 on the real number line.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-3$$
B
$$3$$
C
$$1$$
D
$$2$$
E
$$-1$$

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