Compound Inequalities Test

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

$$x+\frac{15}{4}>\frac{27}{4}\hspace{.5em}or\hspace{.5em}x-\frac{1}{2}<-\frac{13}{2}$$ $$x+\frac{15}{4}>\frac{27}{4}$$$$or$$$$x-\frac{1}{2}<-\frac{13}{2}$$ $$x+\frac{15}{4}>\frac{27}{4}$$$$or$$$$x-\frac{1}{2}<-\frac{13}{2}$$

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$$x<-2\hspace{.5em}or\hspace{.5em}x>7, (-\infty,-2) ∪ (7,\infty)$$ $$x<-2\hspace{.5em}or\hspace{.5em}x>7$$$$(-\infty,-2) ∪ (7,\infty)$$ $$x<-2$$$$or$$$$x>7$$$$(-\infty,-2) ∪ (7,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-6\hspace{.5em}or\hspace{.5em}x>3, (-\infty,-6) ∪ (3,\infty)$$ $$x<-6\hspace{.5em}or\hspace{.5em}x>3$$$$(-\infty,-6) ∪ (3,\infty)$$ $$x<-6$$$$or$$$$x>3$$$$(-\infty,-6) ∪ (3,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-12\hspace{.5em}or\hspace{.5em}x>4, (-\infty,-12) ∪ (4,\infty)$$ $$x<-12\hspace{.5em}or\hspace{.5em}x>4$$$$(-\infty,-12) ∪ (4,\infty)$$ $$x<-12$$$$or$$$$x>4$$$$(-\infty,-12) ∪ (4,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<3\hspace{.5em}or\hspace{.5em}x>11, (-\infty,3) ∪ (11,\infty)$$ $$x<3\hspace{.5em}or\hspace{.5em}x>11$$$$(-\infty,3) ∪ (11,\infty)$$ $$x<3$$$$or$$$$x>11$$$$(-\infty,3) ∪ (11,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<6\hspace{.5em}or\hspace{.5em}x>7, (-\infty,6) ∪ (7,\infty)$$ $$x<6\hspace{.5em}or\hspace{.5em}x>7$$$$(-\infty,6) ∪ (7,\infty)$$ $$x<6$$$$or$$$$x>7$$$$(-\infty,6) ∪ (7,\infty)$$ 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

$$-6x-7>-49\hspace{.5em}and\hspace{.5em}10 + 8x ≥-70$$ $$-6x-7>-49$$$$and$$$$10 + 8x ≥-70$$ $$-6x-7>-49$$$$and$$$$10 + 8x ≥-70$$

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$$-10≤x<7, [-10,7)$$ $$-10≤x<7, [-10,7)$$ $$-10≤x<7$$$$[-10,7)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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

$$-9≤x<-2, [-9,-2)$$ $$-9≤x<-2, [-9,-2)$$ $$-9≤x<-2$$$$[-9,-2)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$5≤x<11, [5,11)$$ $$5≤x<11, [5,11)$$ $$5≤x<11$$$$[5,11)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-3≤x<-1, [-3,-1)$$ $$-3≤x<-1, [-3,-1)$$ $$-3≤x<-1$$$$[-3,-1)$$ 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

$$-3x+2>35\hspace{.5em}or\hspace{.5em}6+9x≥15$$ $$-3x+2>35\hspace{.5em}or\hspace{.5em}6+9x≥15$$ $$-3x+2>35$$$$or$$$$6+9x≥15$$

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$$x<-15\hspace{.5em}or\hspace{.5em}x≥3, (-\infty,-15) ∪ [3,\infty)$$ $$x<-15\hspace{.5em}or\hspace{.5em}x≥3$$$$(-\infty,-15) ∪ [3,\infty)$$ $$x<-15$$$$or$$$$x≥3$$$$(-\infty,-15) ∪ [3,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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

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

$$x<-11\hspace{.5em}or\hspace{.5em}x≥1, (-\infty,-11) ∪ [1,\infty)$$ $$x<-11\hspace{.5em}or\hspace{.5em}x≥1$$$$(-\infty,-11) ∪ [1,\infty)$$ $$x<-11$$$$or$$$$x≥1$$$$(-\infty,-11) ∪ [1,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-9\hspace{.5em}or\hspace{.5em}x≥3, (-\infty,-9) ∪ [3,\infty)$$ $$x<-9\hspace{.5em}or\hspace{.5em}x≥3$$$$(-\infty,-9) ∪ [3,\infty)$$ $$x<-9$$$$or$$$$x≥3$$$$(-\infty,-9) ∪ [3,\infty)$$ 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

$$11x+2>15x-2\hspace{.5em}and\hspace{.5em}2(3x-8)<20x-2$$ $$11x+2>15x-2$$$$and$$$$2(3x-8)<20x-2$$ $$11x+2>15x-2$$$$and$$$$2(3x-8)<20x-2$$

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

$$-5<x<7, (-5,7)$$ $$-5<x<7, (-5,7)$$ $$-5<x<7$$$$(-5,7)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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

$$-10<x<4, (-10,4)$$ $$-10<x<4, (-10,4)$$ $$-10<x<4$$$$(-10,4)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$-15<x<11, (-15,11)$$ $$-15<x<11, (-15,11)$$ $$-15<x<11$$$$(-15,11)$$ 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

$$-17 + 12x >7x-17\hspace{.5em}or\hspace{.5em}11-14x≤-5x+2$$ $$-17 + 12x >7x-17$$$$or$$$$11-14x≤-5x+2$$ $$-17 + 12x >7x-17$$$$or$$$$11-14x≤-5x+2$$

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

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

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

$$x≥0,[0,\infty)$$ $$x≥0,[0,\infty)$$ $$x≥0$$$$[0,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

$$x<-8\hspace{.5em}or\hspace{.5em}x≥2, (-\infty,-8) ∪ [2,\infty)$$ $$x<-8\hspace{.5em}or\hspace{.5em}x≥2$$$$(-\infty,-8) ∪ [2,\infty)$$ $$x<-8$$$$or$$$$x≥2$$$$(-\infty,-8) ∪ [2,\infty)$$ Graph of an Interval on a Number Line, Solution for a Linear Inequality in one Variable

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