Question

1/3(6x+24)-20 < -1/2(6x-36)

Answer 1

Hi there!
The question here gives us an inequality, and it tells us to solve for x.

`(1)/(3) (6x+24)-20 \ \textless \ - (1)/(2) (6x-36)`
First, use the distributive property to simplify both sides of the equation.

`2x+8-20\ \textless \ -3x+18`
Now, on the left side of the inequality, combine like terms.

`2x-12\ \textless \ -3x+18`
Add 12 to both sides.

`2x\ \textless \ -3x+30`
Add 3x to both sides.

`5x\ \textless \ 30`
Divide 5 from both sides.

`x\ \textless \ 6`
Therefore, the solution to the inequality is anything less than 6, or x < 6. Hope this helped!