For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4

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Respuesta :

Answer:

y>0.375

Step-by-step explanation:

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Answer:

For the values of y greater than [tex]\frac{3}{17}[/tex]

Step-by-step explanation:

Suppose 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex]

That is,

[tex]5y - 1 > \frac{3y-1}{4}[/tex]

[tex]4(5y - 1) > 3y - 1[/tex]

[tex]20y - 4 > 3y - 1[/tex]

[tex]20y - 3y > -1 + 4[/tex]

[tex]17y > 3[/tex]

[tex]\implies y>\frac{3}{17}[/tex]    ( a > b ⇒ [tex]\frac{a}{d} > \frac{b}{d}[/tex] where, d > 0 )

Hence, for the values of y greater than [tex]\frac{3}{17}[/tex] the value of the binomial 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex].