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Solve the inequality 6y – 8 > 4y + 26
a)

{y | y > 9}


b)

{y | y > –9}


c)

{y | y > –17}


d)

{y | y > 17}

Respuesta :

aamaruf

Answer:

d)  

{y | y > 17}

Step-by-step explanation:

6y – 8 > 4y + 26

=>6y-4y-8 > 4y+26-4y

=>2y-8>26

=>2y-8+8>26+8

=>2y>34

=>y>17

luisejr77

Answer: option d.

Step-by-step explanation:

Given the inequality:

[tex]6y - 8 > 4y + 26[/tex]

The procedure you can use to solve it is:

1. Subtract [tex]4y[/tex] from both sides:

[tex]6y - 8-(4y) > 4y + 26-(4y)\\\\2y-8>26[/tex]

2. Add 8 to both sides:

[tex]2y-8+(8)>26+(8)\\\\2y>34[/tex]

3. Divide both sides by 2:

[tex]\frac{2y}{2}>\frac{34}{2}\\\\y>17[/tex]

 Therefore, the solution in Set Notation is:

{[tex]y |\ y > 17[/tex]}

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