Question

Solve the inequality 6y – 8 > 4y + 26

a)

y > 9


b)

y > –9


c)

y > –17


d)

y > 17

Answer 1

d)

y

Explanation:

6y – 8 > 4y + 26

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

=>2y-8>26

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

=>2y>34

=>y>17

Answer 2

Answer: option d.

Explanation:

Given the inequality:

`6y - 8 > 4y + 26`

The procedure you can use to solve it is:

1. Subtract
`4y` from both sides:

`6y - 8-(4y) > 4y + 26-(4y)\\\\2y-8>26`

2. Add 8 to both sides:

`2y-8+(8)>26+(8)\\\\2y>34`

3. Divide both sides by 2:

`(2y)/(2)>(34)/(2)\\\\y>17`

Therefore, the solution in Set Notation is:

{
`y |\ y > 17`}