2.1 True/False Equations and Solution Sets NOTES14) !−4≤10 Verbally: Graphically: Set Notation:...
Transcript of 2.1 True/False Equations and Solution Sets NOTES14) !−4≤10 Verbally: Graphically: Set Notation:...
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2.1True/FalseEquationsandSolutionSetsNumberSentence:Determinethetruthvaluesofthefollowing;Ex1:Ex2:Ex3:AlgebraicEquation:Ex4:Ex5:Ex6:SolutionSet:-Ex7:Ex8:Verbally: Verbally:Graphically: Graphically: SetNotation: SetNotation:SetNotation: Ex9: Verbally: Graphhically: SetNotation:
NOTES
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Ex10:YOUTRY:Verbally: Verbally:Graphically: Graphically: SetNotation: SetNotation:
SUMMARY:
Directions:Determinewhetherthefollowingnumbersentencesaretrueorfalse.
1) 16 !!= 0.5! + !
! 2)4 12 + 6 = 4 12 + 4 6 3)!
!= 2.667 4)𝜋 = 3.14
Directions:CircleallnumbersthatwillmaketheequationTRUE.5) 𝑥 + 2 ! = 9-5-1015
6) !!!!!!!
= !!"
13417
7)𝑔! = −4-2024
8)𝑔! − 5 = −4-4-1014
9)6𝑥 − 1 = 11-12611
10)!!+ 6 = 9
48121620
Directions:Describethesolutionset.11)𝑥 = 5Verbally:Graphically:SetNotation:
12)𝑓 + 1 ≠ 4Verbally:Graphically:SetNotation:
SMP#3
PRACTICE
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13)𝑦! = 9Verbally:Graphically:SetNotation:
14)𝑞 − 4 ≤ 10Verbally:Graphically:SetNotation:
15)2 𝑥 + 3 = 2𝑥 + 6Verbally:Graphically:SetNotation:
16)𝑢 − 4 = 𝑢 + 3Verbally:Graphically:SetNotation:
Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions.17)The population of a certain bacteria grows over time as shown in the graph below.
a) What population did the bacteria start with?
b) How long does it take for the population of bacteria to double? Justify.
2.1True/FalseEquationsandSolutionSets
Directions:Usethefollowingequationtoanswerthefollowing.𝟓 + 𝟐𝒙 > 𝟗1) Whatisonevalueofxthat
makestheequationtrue?2) Describethesolutionset
graphically.3) Describethesolutionsetwith
setnotation.
WRAP UP
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Directions:Makeanequationforeachofthefollowingsituationsbyusingonevariable.Thevariablecanbeusedmorethanoncethough.Ex:3x+4=xisfine,but3x+4=yisnot.
4) Anequationthatisalwaystrue. 5)Anequationthatisnevertrue.
6) Anequationthatisonlytruewhenb=2. 7)Anequationthatistrueonlywhenp=2orp=-2
8) Anysideofatrianglemustbelessthanthesumoftheothertwosides.Supposeatriangleismadeupoflengths2inches,3inchesandLinches.
a. DescribethesolutionsetforallpossiblesidelengthsforLverbally.
b. DescribethesolutionsetforallpossiblesidelengthsforLgraphically.EXIT TICKET –
1) For what value of x is the following equation true? √𝑥 + 1 = √𝑥 + 1
-9 -4 -1 0 1 4 9
2) Use the following graphical representation of a set of real numbers to answer the following:
a) Describe this set of real numbers verbally:
b) Describe this set of real numbers in set notation:
c) Write an equation or inequality that has the set above as its solution set.
SMP#2