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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