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}