Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

 [D]:  " x  <  6 " .

Step-by-step explanation:

Given:  

 " 5x - 9 < 21 " ;  

→ Add  "9" to each side of the "inequality" ;

" 5x - 9 + 9 < 21 + 9 " ;

→ to get:

" 5x < 30 " ;

Now, divide each side of the "inequality" by "5" ;

 to isolate "x" on one side of the "inequality" ; as follows:

     " 5x / 5  <  30 / 5 "  ;

to get:

     →   " x  <  6 " .

     →  which is:  Answer choice:  [D]:   " x  <  6 " .

Hope this is helpful to you!

   Best wishes!

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

step-by-step explanation: