Question

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)

Answer 1

For this case we have the following inequality:

`-4 <4 (6y-12) -2y`

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

1st step:

Apply distributive property to the right side of the inequality:

`-4 <24y-48-2y`

2nd step:

We add similar terms:

`-4 <(24-2)y-48`

`-4 <22y-48`

3rd step:

We add 48 to both sides of the equation:

`48-4 <22y-48 + 48\\44 <22y`

4th step:

We divide between 22 on both sides:

`(44)/(22)<(22y)/(22)\\2 <y`

Thus, the result is given by:
`y> 2`

Answer:

Option 1