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SECONDARY MATH I // MODULE 4
EQUATIONS AND INEQUALITIES – 4.4
A Develop Understanding Task
Foreachsituationyouaregivenamathematicalstatement
andtwoexpressionsbeneathit.
1. Decidewhichofthetwoexpressionsisgreater,iftheexpressionsareequal,orifthe
relationshipcannotbedeterminedfromthestatement.
2. Writeanequationorinequalitythatshowsyouranswer.
3. Explainwhyyouransweriscorrect.
Watchout—thisgetstricky!
Example:
Statement:! = 8
Whichisgreater?! + 5 or 3! + 2
Answer:3x+2>x+5becauseifx=8, 3! + 2 = 26, ! + 5 = 13 and 26 > 13.
Tryityourself:
1. Statement:! < !
Whichisgreater?! − ! or ! − !
2. Statement:2! − 3 > 7
Whichisgreater?5 or !
3. Statement:10 − 2! < 6
Whichisgreater?! or 2
4. Statement:4! ≤ 0
Whichisgreater?1 or !
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4.4 Greater Than?
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15
SECONDARY MATH I // MODULE 4
EQUATIONS AND INEQUALITIES – 4.4
5. Statement:nisaninteger
Whichisgreater?! or − !
6. Statementx>y
Whichisgreater?x+aory+a
7. Statement:x>y
Whichisgreater?x–aory–a
8. Statement:5 > 4
Whichisgreater?5! or 4!
9. Statement:5 > 4
Whichisgreater?
5
4
or x
x
€ €
10. Statement:0 < x< 10 and 0 < y< 12
Whichisgreater?! or !
n+2
11. Statement: 3 ≥ 27 Whichisgreater?! or 1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org