Question

Solve the inequality 2 ( 4x + 1 ) < 3 ( 2x - 3 )

Answer 1

Answer:  x < -5  1/2  or  x < -11/2

Step-by-step explanation:

2 ( 4x + 1 ) < 3 ( 2x - 3 )

8x + 2 < 6x - 9

8x - 6x < -9 -2

       2x < -11

         x < -11/2

         x < -5  1/2        

Answer 2

Process:

First, we are going to distribute in the parentheses.

2(4x+1) < 3(2x-3)

8x+2 < 6x-9

Now we are going to combine the like terms. (It is easier to move smaller terms to the bigger ones)

8x+2 < 6x-9

-6x+2 < -6x-9

= 2x+2 < -9

(There are more like terms!)

2x+2 < -9

2x+9 < +9

= 2x+11 < 0

2x+11 < 0

2x-11 < -11

= 2x < -11

Lastly, divide to get 'x' by itself

2x < -11

---- < ----

2   <   2

= x < -5.5

So, 'x' is less than -5.5.

Hope this helped:)

☆anvipatel77☆

•Expert•

Brainly Community Contributor.