Question

Five times a number decreased by eight is at most ten or more than twice the number

Answer 1

Given:
five times a number = 5x
decreased by 8 = 5x - 8
is at most 10 = maximum is 10 so less than or equal to 10
more than twice the number = greater than 2x.

2x < 5x - 8 < 10

5x - 8 < 10
5x - 8 > 2x

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5x - 8    < 10      if x = 3.60 then 2x < 5x-8 < 10
     + 8      +8                              2(3.6)  < 5(3.6) - 8 < 10
5x         <  18                                7.2    < 10 < 10
÷5              ÷5
        x   <  3.60

5x - 8     > 2x                  x > 2.67; if x = 3
     +8             + 8                        2x < 5x - 8 < 10
5x          > 2x + 8                        2(3) < 5(3) - 8 < 10
-2x           -2x                                 6 < 7 < 10
3x          >         8
÷3                    ÷3  
x             >  2.67