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

1 answer:

3 0

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

****

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

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