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Question 1 of 5Solve, Write in Interval Notation, Graph
$$-3x^2+3x≥-36$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$-3≤x≤4,\hspace{.25em}[-3,4]$$ $$-3≤x≤4$$$$[-3,4]$$ Graphing an Interval on a Number Line
B
$$-9≤x≤5,\hspace{.25em}[-9,5]$$ $$-9≤x≤5$$$$[-9,5]$$ Graphing an Interval on a Number Line
C
$$-1≤x≤2,\hspace{.25em}[-1,2]$$ $$-1≤x≤2$$$$[-1,2]$$ Graphing an Interval on a Number Line
D
$$-6≤x≤1,\hspace{.25em}[-6,1]$$ $$-6≤x≤1$$$$[-6,1]$$ Graphing an Interval on a Number Line
E
$$-2≤x≤4,\hspace{.25em}[-2,4]$$ $$-2≤x≤4$$$$[-2,4]$$ Graphing an Interval on a Number Line
Question 2 of 5Solve, Write in Interval Notation, Graph
$$5x^2-9x<-4$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{4}{5}<x<1,\hspace{.25em} \left(\frac{4}{5},1\right)$$ $$\frac{4}{5}<x<1$$$$\left(\frac{4}{5},1\right)$$ Graphing an Interval on a Number Line
B
$$-3<x<5, \hspace{.25em} (-3,5)$$ $$-3<x<5$$$$(-3,5)$$ Graphing an Interval on a Number Line
C
$$-1<x<8, \hspace{.25em} (-1,8)$$ $$-1<x<8$$$$(-1,8)$$ Graphing an Interval on a Number Line
D
$$-\frac{1}{5}<x<\frac{4}{5},\hspace{.25em} \left(-\frac{1}{5},\frac{4}{5}\right)$$ $$-\frac{1}{5}<x<\frac{4}{5}$$$$\left(-\frac{1}{5},\frac{4}{5}\right)$$ Graphing an Interval on a Number Line
E
$$-7<x<2, \hspace{.25em} (-7,2)$$ $$-7<x<2$$$$(-7,2)$$ Graphing an Interval on a Number Line
Question 3 of 5Solve, Write in Interval Notation, Graph
$$3x^2-28x≥-49$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x≤-3\hspace{.25em}or\hspace{.25em}x≥5, \hspace{.25em} (-\infty,-3] ∪ [5,\infty)$$ $$x≤-3\hspace{.25em}or\hspace{.25em}x≥5$$$$(-\infty,-3] ∪ [5,\infty)$$ Graphing an Interval on a Number Line
B
$$x≤-9\hspace{.25em}or\hspace{.25em}x≥7, \hspace{.25em} (-\infty,-9] ∪ [7,\infty)$$ $$x≤-9\hspace{.25em}or\hspace{.25em}x≥7$$$$(-\infty,-9] ∪ [7,\infty)$$ Graphing an Interval on a Number Line
C
$$x≤\frac{7}{3}\hspace{.25em} or \hspace{.25em} x≥7, \hspace{.25em} \left(-\infty,\frac{7}{3}\right] ∪ [7,\infty)$$ $$x≤\frac{7}{3}\hspace{.25em} or \hspace{.25em} x≥7$$$$\left(-\infty,\frac{7}{3}\right] ∪ [7,\infty)$$ Graphing an Interval on a Number Line
D
$$x≤\frac{2}{3}\hspace{.25em} or \hspace{.25em} x≥5, \hspace{.25em} \left(-\infty,\frac{2}{3}\right] ∪ [5,\infty)$$ $$x≤\frac{2}{3}\hspace{.25em} or \hspace{.25em} x≥5$$$$\left(-\infty,\frac{2}{3}\right] ∪ [5,\infty)$$ Graphing an Interval on a Number Line
E
$$x≤\frac{2}{5}\hspace{.25em} or \hspace{.25em} x≥1, \hspace{.25em} \left(-\infty,\frac{2}{5}\right] ∪ [1,\infty)$$ $$x≤\frac{2}{5}\hspace{.25em} or \hspace{.25em} x≥1$$$$\left(-\infty,\frac{2}{5}\right] ∪ [1,\infty)$$ Graphing an Interval on a Number Line
Question 4 of 5Solve, Write in Interval Notation, Graph
$$\frac{24}{x-2}≥6$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$2<x≤6,\hspace{.25em}(2,6]$$ $$2<x≤6$$$$(2,6]$$ Graphing an Interval on a Number Line
B
$$-2<x<6,\hspace{.25em}(-2,6)$$ $$-2<x<6$$$$(-2,6)$$ Graphing an Interval on a Number Line
C
$$-4<x≤4,\hspace{.25em}(-4,4]$$ $$-4<x≤4$$$$(-4,4]$$ Graphing an Interval on a Number Line
D
$$-5<x≤7,\hspace{.25em}(-5,7]$$ $$-5<x≤7$$$$(-5,7]$$ Graphing an Interval on a Number Line
E
$$-9<x≤4,\hspace{.25em}(-9,4]$$ $$-9<x≤4$$$$(-9,4]$$ Graphing an Interval on a Number Line
Question 5 of 5Solve, Write in Interval Notation, Graph
$$\frac{(4x-3)^2}{x+2}>0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$-2<x<9\hspace{.25em},(-2,9)$$ $$-2<x<9$$$$(-2,9)$$ Graphing an Interval on a Number Line
B
$$-2<x<\frac{3}{4}\hspace{.25em}or\hspace{.25em}x>\frac{3}{4},\left(-2,\frac{3}{4}\right) ∪ \left(\frac{3}{4},\infty\right)$$ $$-2<x<\frac{3}{4}$$$$or$$$$x>\frac{3}{4}$$$$\left(-2,\frac{3}{4}\right) ∪ \left(\frac{3}{4},\infty\right)$$ Graphing an Interval on a Number Line
C
$$-2<x<5\hspace{.25em},(-2,5)$$ $$-2<x<5$$$$(-2,5)$$ Graphing an Interval on a Number Line
D
$$-2<x<\frac{1}{4}\hspace{.25em}or\hspace{.25em}x>\frac{1}{4},\left(-2,\frac{1}{4}\right) ∪ \left(\frac{1}{4},\infty\right)$$ $$-2<x<\frac{1}{4}$$$$or$$$$x>\frac{1}{4}$$$$\left(-2,\frac{1}{4}\right) ∪ \left(\frac{1}{4},\infty\right)$$ Graphing an Interval on a Number Line
E
$$-2<x<\frac{8}{9}\hspace{.25em}or\hspace{.25em}x>\frac{8}{9},\left(-2,\frac{8}{9}\right) ∪ \left(\frac{8}{9},\infty\right)$$ $$-2<x<\frac{8}{9}$$$$or$$$$x>\frac{8}{9}$$$$\left(-2,\frac{8}{9}\right) ∪ \left(\frac{8}{9},\infty\right)$$ Graphing an Interval on a Number Line

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