Linear Inequalities in one Variable Test

Question 1 of 5: Solve, Write in Interval Notation, Graph

$$1 - 5(-3-2x)<86$$ $$1 - 5(-3-2x)<86$$ $$1 - 5(-3-2x)<86$$

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$$x<3,(-\infty,3)$$ $$x<3,(-\infty,3)$$ $$x<3$$$$(-\infty,3)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x>-2,(-2,\infty)$$ $$x>-2,(-2,\infty)$$ $$x>-2$$$$(-2,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<12,(-\infty,12)$$ $$x<12,(-\infty,12)$$ $$x<12$$$$(-\infty,12)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x>-7,(-7,\infty)$$ $$x>-7,(-7,\infty)$$ $$x>-7$$$$(-7,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<7,(-\infty,7)$$ $$x<7,(-\infty,7)$$ $$x<7$$$$(-\infty,7)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

Question 2 of 5: Solve, Write in Interval Notation, Graph

$$x-\frac{1}{2}>\frac{4}{3}x-\frac{7}{6}$$ $$x-\frac{1}{2}>\frac{4}{3}x-\frac{7}{6}$$ $$x-\frac{1}{2}>\frac{4}{3}x-\frac{7}{6}$$

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$$x<-8, (-\infty,-8)$$ $$x<-8, (-\infty,-8)$$ $$x<-8$$$$(-\infty,-8)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x>13, (13,\infty)$$ $$x>13, (13,\infty)$$ $$x>13$$$$(13,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x>6, (6,\infty)$$ $$x>6, (6,\infty)$$ $$x>6$$$$(6,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-1, (-\infty,-1)$$ $$x<-1, (-\infty,-1)$$ $$x<-1$$$$(-\infty,-1)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<2, (-\infty,2)$$ $$x<2, (-\infty,2)$$ $$x<2$$$$(-\infty,2)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

Question 3 of 5: Solve, Write in Interval Notation, Graph

$$2(5x+3)≥-7(x+6)+11x$$ $$2(5x+3)≥-7(x+6)+11x$$ $$2(5x+3)≥$$$$-7(x+6)+11x$$

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$$x≥-8,[-8,\infty)$$ $$x≥-8,[-8,\infty)$$ $$x≥-8$$$$[-8,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x≥3,[3,\infty)$$ $$x≥3,[3,\infty)$$ $$x≥3$$$$[3,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x≥1,[1,\infty)$$ $$x≥1,[1,\infty)$$ $$x≥1$$$$[1,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x≤7,(-\infty,7]$$ $$x≤7,(-\infty,7]$$ $$x≤7$$$$(-\infty,7]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x≤14,(-\infty, 14]$$ $$x≤14,(-\infty, 14]$$ $$x≤14$$$$(-\infty, 14]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

Question 4 of 5: Solve, Write in Interval Notation, Graph

$$11≤-9+5x<16$$ $$11≤-9+5x<16$$ $$11≤-9+5x<16$$

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$$6≤x<9, [6,9)$$ $$6≤x<9, [6,9)$$ $$6≤x<9$$$$[6,9)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-2≤x<7, [-2,7)$$ $$-2≤x<7, [-2,7)$$ $$-2≤x<7$$$$[-2,7)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-\frac{5}{2}≤x<2, \left[-\frac{5}{2},2\right)$$ $$-\frac{5}{2}≤x<2, \left[-\frac{5}{2},2\right)$$ $$-\frac{5}{2}≤x<2$$$$\left[-\frac{5}{2},2\right)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$4≤x<5, [4,5)$$ $$4≤x<5, [4,5)$$ $$4≤x<5$$$$[4,5)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-\frac{2}{5}≤x<5, \left[-\frac{2}{5},5\right)$$ $$-\frac{2}{5}≤x<5, \left[-\frac{2}{5},5\right)$$ $$-\frac{2}{5}≤x<5$$$$\left[-\frac{2}{5},5\right)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

Question 5 of 5: Solve, Write in Interval Notation, Graph

$$-38≤5x-8<-3$$ $$-38≤5x-8<-3$$ $$-38≤5x-8<-3$$

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$$-12≤x<3, [-12,3)$$ $$-12≤x<3, [-12,3)$$ $$-12≤x<3$$$$[-12,3)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-6≤x<1, [-6,1)$$ $$-6≤x<1, [-6,1)$$ $$-6≤x<1$$$$[-6,1)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$3≤x<5, [3,5)$$ $$3≤x<5, [3,5)$$ $$3≤x<5$$$$[3,5)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-7≤x<9, [-7,9)$$ $$-7≤x<9, [-7,9)$$ $$-7≤x<9$$$$[-7,9)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-5≤x<\frac{1}{2}, \left[-5,\frac{1}{2}\right)$$ $$-5≤x<\frac{1}{2}, \left[-5,\frac{1}{2}\right)$$ $$-5≤x<\frac{1}{2}$$$$\left[-5,\frac{1}{2}\right)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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