`8m+7≥6m-9`
`m≥-8`
`5<k-2<11`
`7<k<13 `
See Graph
`Solve and Graph`
`|x+3|<10`
`-13<x<7`
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}
`3(8x-9)>4(6x+1)`
False No Solution
`-27>4`
Solve
`8-7(2r+3)≤3(r-10)`
`r≥1`
Given is the interval notation:
(-∞,0] or (5,∞)
Write the inequality and Graph it
See Graph
`x≤0 or x>5`
Solve
`|3t-2|+6=2`
False
No Solution
|x|≠negative
Draw a Diagram that represents A' (The Complement of set A)
See Diagram
Solve and Graph
`-3≤(6-q)/9≤3`
See Graph
`-21≤q≤33`
Solve
`(y-2)/2 -5≤3 or (1+2y)/3≥41`
`y≤18 or y≤61`
Solve and Graph
`-3(2x+1)<-15 or 1-x≥5`
See Graph
`x≤-4 or x>2`
Solve
`3|x+2|+4=13`
`x=1 or x=-5`
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}
Solve and Graph
`3/4 a-6<0 and 2/3 a +4≥2`
See Graph
`-3≤a<8`
Solve
`12h-3≥15h or 5 > -0.2h+10`
`h≤-1 or h>25`
Solve and Graph
`6b-1≤41 or 2b+1≥11`
All Real Numbers
See Graph
`b≤7 or b≥5`
Solve and Graph
`4-3|m+2| > -14`
See Graph
`-8<m<4`
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
Solve and Graph
`10n +1≥-59 or -10 -9n<26`
See Graph
`n≥-6`
Solve it
`11x-4≤6x-(3-5x)`
All Real Numbers
Solve
`2-n≤7+4n≤n+10`
`-1≤n≤1`
Solve and Graph
`3|8x+5|-9≥24`
`x≤-2 or x≥ 3/4 `
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,...}
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}