six less than five times a number is at least 29. Find the largest possible answer that makes this true.

Question

algebra question 

Answer 1

Let x be the number.

 

"five times a number "        5x

"six less than five times a number"          5x - 6

 

"is at least 29"       ≥29      [greater than or equal to]

 

5x - 6 ≥ 29

5x ≥ 35         [add +6 to both sides retains the sense of the inequality]

  x ≥7       [divide both sides by +7 retains the sense of the inequality]

 

Check:

   Is   5(7) - 6 ≥ 29  ?

          35 - 6 ≥ 29   ?

              29  ≥ 29   ? yes, they are equal

Try 50:

   Is 5(50) - 6 ≥ 29   ?

       250 -6 ≥ 29   ?

         244 ≥ 29   ?yes