nehashah0912 nehashah0912
  • 02-10-2019
  • Mathematics
contestada

For what values of b is the difference between the fractions 2b-1/2 and 1+5b/4 negative?

Respuesta :

frika
frika frika
  • 04-10-2019

Answer:

b > -3

Step-by-step explanation:

You are given two fractions:

[tex]\dfrac{2b-1}{2}\ \text{and }\ \dfrac{1+5b}{4}[/tex]

Find the difference of these two fractions:

[tex]\dfrac{2b-1}{2}-\dfrac{1+5b}{4}\\ \\=\dfrac{2(2b-1)-(1+5b)}{4}\\ \\=\dfrac{4b-2-1-5b}{4}\\ \\=\dfrac{-b-3}{4}[/tex]

Now, find the values of bfor which the difference between the fractions is negative. Solve the inequality:

[tex]\dfrac{-b-3}{4}<0\\ \\-b-3<0\\ \\-b<3\\ \\b>-3[/tex]

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