Question

Solve the inequality 6x − 8 > 4x + 26

Answer 1

Hi.

Answer:

`\boxed{x>17}\checkmark`

The answer should have positive sign but not negative.

Explanation:

First, you add by 8 from both sides.

`6x-8+8>4x+26+8`

Then, simplify.

`6x>4x+34`

Next, you do is subtract by 4x from both sides.

`6x-4x>4x+34-4x`

Simplify.

`2x>34`

Therefore, you divide by 2 from both sides.

`(2x)/(2)>(34)/(2)`

Finally, you solve and simplify.

`34/2=17`

`x=17\checkmark`

X=17 is the correct answer.

Hope this helps you!

Have a nice day! :)

Answer 2

The solution for the inequality is x>17

Explanation:

Consider the provided inequality.

`6x - 8 > 4x + 26`

Subtract 4x to both the sides.

`6x -4x- 8 > 4x-4x + 26`

`2x- 8 > 26`

Add 8 to the both sides.

`2x- 8+8 > 26+8`

`2x > 34`

Divide both the sides by 2.

`x > 17`

Hence, the solution for the inequality is x>17