Solving Absolute Value Inequalities Test

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

$$-5|-8x-8|+9≥-31$$

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$$-2≤x≤0, [-2,0]$$ $$-2≤x≤0$$$$[-2,0]$$ $$-2≤x≤0$$$$[-2,0]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-7≤x≤5, [-7,5]$$ $$-7≤x≤5$$$$[-7,5]$$ $$-7≤x≤5$$$$[-7,5]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-9≤x≤3, [-9,3]$$ $$-9≤x≤3$$$$[-9,3]$$ $$-9≤x≤3$$$$[-9,3]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$6≤x≤11, [6,11]$$ $$6≤x≤11$$$$[6,11]$$ $$6≤x≤11$$$$[6,11]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-11≤x≤0, [-11,0]$$ $$-11≤x≤0$$$$[-11,0]$$ $$-11≤x≤0$$$$[-11,0]$$ 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

$$8|x-1|-1≤71$$

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$$-5≤x≤6,[-5,6]$$ $$-5≤x≤6$$$$[-5,6]$$ $$-5≤x≤6$$$$[-5,6]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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

$$-8≤x≤10,[-8,10]$$ $$-8≤x≤10$$$$[-8,10]$$ $$-8≤x≤10$$$$[-8,10]$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

No Solution

$$-4≤x≤1,[-4,1]$$ $$-4≤x≤1$$$$[-4,1]$$ $$-4≤x≤1$$$$[-4,1]$$ 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

$$5|8x-8|-6<34$$

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$$-5<x<12,(-5,12)$$ $$-5<x<12$$$$(-5,12)$$ $$-5<x<12$$$$(-5,12)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$0<x<2,(0,2)$$ $$0<x<2$$$$(0,2)$$ $$0<x<2$$$$(0,2)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-11<x<7,(-11,7)$$ $$-11<x<7$$$$(-11,7)$$ $$-11<x<7$$$$(-11,7)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-21<x<4,(-21,4)$$ $$-21<x<4$$$$(-21,4)$$ $$-21<x<4$$$$(-21,4)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-13<x<12,(-13,12)$$ $$-13<x<12$$$$(-13,12)$$ $$-13<x<12$$$$(-13,12)$$ 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

$$2|-3x-6|-10>8$$

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$$x<2\hspace{.5em}or\hspace{.5em}x>10, (-\infty,2) ∪ (10,\infty)$$ $$x<2\hspace{.5em}or\hspace{.5em}x>10$$$$(-\infty,2) ∪ (10,\infty)$$ $$x<2$$$$or$$$$x>10$$$$(-\infty,2) ∪ (10,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-8\hspace{.5em}or\hspace{.5em}x>1, (-\infty,-8) ∪ (1,\infty)$$ $$x<-8\hspace{.5em}or\hspace{.5em}x>1$$$$(-\infty,-8) ∪ (1,\infty)$$ $$x<-8$$$$or$$$$x>1$$$$(-\infty,-8) ∪ (1,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-5\hspace{.5em}or\hspace{.5em}x>1, (-\infty,-5) ∪ (1,\infty)$$ $$x<-5\hspace{.5em}or\hspace{.5em}x>1$$$$(-\infty,-5) ∪ (1,\infty)$$ $$x<-5$$$$or$$$$x>1$$$$(-\infty,-5) ∪ (1,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<15\hspace{.5em}or\hspace{.5em}x>16, (-\infty,15) ∪ (16,\infty)$$ $$x<15\hspace{.5em}or\hspace{.5em}x>16$$$$(-\infty,15) ∪ (16,\infty)$$ $$x<15$$$$or$$$$x>16$$$$(-\infty,15) ∪ (16,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-1\hspace{.5em}or\hspace{.5em}x>6, (-\infty,-1) ∪ (6,\infty)$$ $$x<-1\hspace{.5em}or\hspace{.5em}x>6$$$$(-\infty,-1) ∪ (6,\infty)$$ $$x<-1$$$$or$$$$x>6$$$$(-\infty,-1) ∪ (6,\infty)$$ 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

$$6|5x+10|-6>54$$

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$$x<-3\hspace{.5em}or\hspace{.5em}x>2, (-\infty,-3) ∪ (2,\infty)$$ $$x<-3\hspace{.5em}or\hspace{.5em}x>2$$$$(-\infty,-3) ∪ (2,\infty)$$ $$x<-3$$$$or$$$$x>2$$$$(-\infty,-3) ∪ (2,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-6\hspace{.5em}or\hspace{.5em}x>-2, (-\infty,-6) ∪ (-2,\infty)$$ $$x<-6\hspace{.5em}or\hspace{.5em}x>-2$$$$(-\infty,-6) ∪ (-2,\infty)$$ $$x<-6$$$$or$$$$x>-2$$$$(-\infty,-6) ∪ (-2,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<0\hspace{.5em}or\hspace{.5em}x>11, (-\infty,0) ∪ (11,\infty)$$ $$x<0\hspace{.5em}or\hspace{.5em}x>11$$$$(-\infty,0) ∪ (11,\infty)$$ $$x<0$$$$or$$$$x>11$$$$(-\infty,0) ∪ (11,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-4\hspace{.5em}or\hspace{.5em}x>0, (-\infty,-4) ∪ (0,\infty)$$ $$x<-4\hspace{.5em}or\hspace{.5em}x>0$$$$(-\infty,-4) ∪ (0,\infty)$$ $$x<-4$$$$or$$$$x>0$$$$(-\infty,-4) ∪ (0,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

No Solution

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