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Question 1 of 5Solve each inequality:
$$\frac{3}{x - 4}> 2$$
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A
$$x > 7$$ $$(7, \infty)$$ graphing an interval on a number line
B
$$3 < x < \frac{13}{3}$$ $$\left(3, \frac{13}{3}\right)$$ graphing an interval on a number line
C
$$x < 2$$ $$\text{or}$$ $$x > 5$$$$(-\infty, 2) ∪ (5, \infty)$$ graphing an interval on a number line
D
$$4 < x < \frac{11}{2}$$ $$\left(4, \frac{11}{2}\right)$$ graphing an interval on a number line
E
No Solution$$∅$$
Question 2 of 5Solve each inequality:
$$\frac{7}{x - 1}≤ \frac{3}{x + 2}$$
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A
No Solution$$∅$$
B
$$-5 < x < 2$$ $$(-5, 2)$$ graphing an interval on a number line
C
$$x ≤ -\frac{17}{4}$$ $$\text{or}$$ $$-2 < x < 1$$ $$\left(-\infty, -\frac{17}{4}\right] ∪ (-2, 1)$$ graphing an interval on a number line
D
$$-4 < x < 5$$ $$\text{or}$$ $$x ≥ 7$$ $$(-4, 5) ∪ [7, \infty)$$ graphing an interval on a number line
E
$$-5 < x < 9$$ $$(-5, 9)$$ graphing an interval on a number line
Question 3 of 5Solve each inequality:
$$\frac{4x - 1}{x^2 + 4x + 4}> 0$$
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A
$$-2 < x < 2$$ $$(-2, 2)$$ graphing an interval on a number line
B
$$x > \frac{1}{4}$$ $$\left(\frac{1}{4}, \infty \right)$$ graphing an interval on a number line
C
No Solution$$∅$$
D
$$x > -2$$ $$(-2, \infty)$$ graphing an interval on a number line
E
$$-1 < x < 4$$ $$\text{or}$$ $$x > 11$$ $$(-1, 4) ∪ (11, \infty)$$ graphing an interval on a number line
Question 4 of 5Solve each inequality:
$$\frac{2x^2 + 5x - 12}{3x - 1}> 0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
All Real Numbers$$(-\infty, \infty)$$ graphing an interval on a number line
B
No Solution$$∅$$
C
$$-4 < x < \frac{1}{3}$$ $$\text{or}$$ $$x > \frac{3}{2}$$ $$\left(-4, \frac{1}{3}\right) ∪ \left(\frac{3}{2}, \infty \right)$$ graphing an interval on a number line
D
$$-1 < x < 3$$ $$\text{or}$$ $$x > 9$$ $$(-1, 3) ∪ (9, \infty)$$ graphing an interval on a number line
E
$$x > -4$$ $$(-4, \infty)$$ graphing an interval on a number line
Question 5 of 5Solve each inequality:
$$\frac{7}{x + 1}≤ \frac{3}{x + 5}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$x < -8$$ $$\text{or}$$ $$x > -5$$ $$(-\infty, -8) ∪ (-5, \infty)$$ graphing an interval on a number line
B
$$x > -8$$ $$(-8, \infty)$$ graphing an interval on a number line
C
$$x ≤ -8$$ $$\text{or}$$ $$-5 < x < -1$$ $$(-\infty, -8] ∪ (-5, -1)$$ graphing an interval on a number line
D
$$x ≤ -1$$ $$\text{or}$$ $$4 < x < 8$$ $$(-\infty, -1] ∪ (4,8)$$ graphing an interval on a number line
E
All Real Numbers$$(-\infty, \infty)$$ graphing an interval on a number line

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