A la regla que asocia a todo elemento de un conjunto con uno y sólo uno de los elementos de otro conjunto se le llama

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2019johnfranken

08.09.2020

Mathematics

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

(B)x = Negative StartFraction 6 over 4 EndFraction

$-\dfrac{6}{4}$

(D)x = negative three-halves

$-\dfrac{3}{2}$

Step-by-step explanation:

We want to determine which fraction is equivalent to

$\dfrac{1}{4}+x=-\dfrac{5}{4}\\$First, we collect like terms$\\x=-\dfrac{5}{4}-\dfrac{1}{4} \\\\=\dfrac{-5-1}{4}\\=-\dfrac{6}{4}\\x=-\dfrac{6}{4}$

This value of x is the result in Option B.

Reducing $-\dfrac{6}{4}$ to its lowest form:

$-\dfrac{6}{4}=-\dfrac{3}{2}$ which is Option D.

Therefore, the correct options are: B and D

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