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Solve the inequality -4<{(<---is greater than or equal to)}4(6y-12)-2y
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-4<4(6y-12)-2y

y>2 (greater than or equal to sign)
y> 4/11 (greater than or equal to sign)
y<3(less than or equal to sign)
y< -3(less than or equal to sign)

Respuesta :

carlosego

For this case we have the following inequality:

[tex]-4 <4 (6y-12) -2y[/tex]

We must clear "y", so, we have the following steps:

1st step:

Apply distributive property to the right side of the inequality:

[tex]-4 <24y-48-2y[/tex]

2nd step:

We add similar terms:

[tex]-4 <(24-2)y-48[/tex]

[tex]-4 <22y-48[/tex]

3rd step:

We add 48 to both sides of the equation:

[tex]48-4 <22y-48 + 48\\44 <22y[/tex]

4th step:

We divide between 22 on both sides:

[tex]\frac{44}{22}<\frac{22y}{22}\\2 <y[/tex]

Thus, the result is given by: [tex]y> 2[/tex]

Answer:

Option 1


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