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Inequalities, SMB-009

For the expression `x^2 > 5x`, what is the smallest positive whole number  `x`  can be that makes the expression correct?  (2 marks)

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`6`

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`text(If)\ \ x = 6,`

`6^2` `> 5 xx 6`
`36` `> 30\ \ \ =>\ text{correct}`

 

`text(All positive whole numbers smaller than 6 result in:)`

`x^2 = 5x\ \ \ text{(for}\ x=5 text{)}`

`x^2 < 5x\ \ \ text{(for}\ x=4,3,2, …text{)}`

Filed Under: Inequalities Tagged With: num-title-ct-pathb, smc-4385-10-Linear

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