Compound Inequalities – Day 1 October 1, 2014. x -12 (-12, ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.

CompoundInequalities – Day 1

CompoundInequalities – Day 1

October 1, 2014

x -12 (-12, ) x ≤ 9(- , 9]

SWBAT: Solve and graph solutions sets of compound inequalities with one variable.


- 1


𝒙≤𝟎𝒐𝒓 𝒙>𝟑


𝒓𝟏 𝒓𝟏

𝒓𝟏≤ 𝒙≤𝒓𝟐 𝒙≤𝒓𝟏𝒐𝒓 𝒙≥𝒓𝟐


[-6, 8)(-10, 10)

{x -6 ≤ x 8}{x x -2 or x ≥ 4}(-∞, -2) ∪ [4, ∞)

{x -10 x 10}{x x -8 or x 6}(-∞, -8) ∪ (6, ∞)


8 2x 16

2 2 24 x 8

-2 -2 -2

4 x 84, 8){x 4 ≤ x 8}


5 5 5

5 v 10

5 v 105, 10]{v 5 ≤ v ≤ 10}


+2 +2

2k 0 2 2

k ≥ 0

-9 -9 -6k -6-6 -6

k 1

𝒌≥𝟎𝒂𝒏𝒅𝒌≤𝟏0 k1

0 k10, 1]{k 0 ≤ k ≤ 1}


-10 -10

6p -12 6 6

p ≥ -2

-9 -9 -4p -24-4 -4

p 6

𝒑 ≥−𝟐𝒂𝒏𝒅𝒑 ≤𝟔-2 p6

-2 p6-2, 6]{p -2 ≤ p ≤ 6}


+1 +1

-6m -42

-6 -6

m 7

-8 -8-8m ≤ -64 -8 -8

m 8

(-∞, 7) ∪ [8, ∞){m m 7 or m ≥ 8}


- 3 -3

-6r 12

-6 -6

r -2

-4 -4 4r 12 4 4

r 3

(-∞, -2) ∪ (3, ∞){r r -2 or r 3}




Compound Inequalities – Day 1 October 1, 2014. x -12 (-12, ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.

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