Question

Solve the inequality 6y – 8 > 4y + 26

Answer 1

Answer: option d.

Step-by-step 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:

$\frac{2y}{2}>\frac{34}{2}\\\\y>17$

 Therefore, the solution in Set Notation is:

{$y |\ y > 17$}

Answer 2

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