Solve it
Graph it
Absolute
Sets
Sweat!!!
100

`8m+7≥6m-9`

`m≥-8`

100

`5<k-2<11`

`7<k<13 `

See Graph

100

`Solve and Graph`

`|x+3|<10`


`-13<x<7`

100

Let A={2,4,6,8} and B={1,3,5,7,9}

what is the set of AUB= "A Union B" ?

AUB={1,2,3,4,5,6,7,8,9}

OR

AUB={1,2,3,...,9}

100

`3(8x-9)>4(6x+1)`

False No Solution

`-27>4`

200

Solve

`8-7(2r+3)≤3(r-10)`

`r≥1`

200

Given is the interval notation:

(-∞,0] or (5,∞)

Write the inequality and Graph it 

See Graph 

`x≤0 or x>5`

200

Solve

`|3t-2|+6=2`

False 

No Solution

|x|≠negative

200

Draw a Diagram that represents A' (The Complement of set A)

See Diagram 

200

Solve and Graph

`-3≤(6-q)/9≤3`

See Graph 

`-21≤q≤33`

300

Solve 

`(y-2)/2 -5≤3 or (1+2y)/3≥41`

`y≤18 or y≤61`

300

Solve and Graph

`-3(2x+1)<-15 or 1-x≥5`

See Graph

`x≤-4 or x>2`

300

Solve 

`3|x+2|+4=13`

`x=1 or x=-5`

300

Suppose U={3, 6, 9, 12, 15, 18, 21} is the universal set and M={3, 9, 15, 21}. What is M'?

M'={6,12,18}

300

Solve and Graph 

`3/4 a-6<0 and 2/3 a +4≥2`

See Graph 

`-3≤a<8`

400

Solve 

`12h-3≥15h or 5 > -0.2h+10`

`h≤-1 or h>25`

400

Solve and Graph 


`6b-1≤41 or 2b+1≥11`

All Real Numbers

See Graph

`b≤7 or b≥5`

400

Solve and Graph 

`4-3|m+2| > -14`

See Graph 

`-8<m<4`

400

Draw the Ven Diagram that represents these sets

Let U={1,2,3,...,10}

Let A={multiples of 2}

Let B={7,8,10} 

See Graph 

400

Solve and Graph 

`10n +1≥-59 or -10 -9n<26`

See Graph 

`n≥-6`

500

Solve it 

`11x-4≤6x-(3-5x)`

All Real Numbers

500

Solve

`2-n≤7+4n≤n+10`

`-1≤n≤1`

500

Solve and Graph 

`3|8x+5|-9≥24`

`x≤-2 or x≥ 3/4 `

500

Let A be the set of Integers solutions that satisfy the inequality: Solve and write in set builder notation.

Hint: either write it as a partial list or as a rule

`-2(x+7)≤-14+2x `

A={x| x E N, x≥0}

         or 

A={0,1,2,3,...}


500

Wow, how bold of you, or how desperate are you to try me!!! Solve and write the set A ∩ B "A intersect B". You may use a Ven Diagram, List, partial list or rule.

Let U={integers}

Let A={x| 3(x-2)-7x<6}

Let B={x| 15 (x-3)+3x<45}


A ∩ B={x| -3<x<5}

         or

A ∩ B={-2,-1,0,...,4}

        or

A ∩ B={-2,-1,0,1,2,3,4}

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