Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25.

1 answer:

8 0

12s - 20 < 50 - 3s - 25

12s - 20 < 50 - 3s - 25
+3s +3s
15s - 20 < 50 - 25
 + 20 + 20 
15s < 70 - 25

15s < 45
÷ 15 ÷15
s < 3

The value of s is less than or equal to 3. So s can be 3, 2, 1, 0, and negative numbers.

s = 3 ⇒ 12(3) - 20 < 50 - 3(3) - 25 ; 36 - 20 < 50 - 9 - 25 ; 16 < 16
s = 2 ⇒ 12(2) - 20 < 50 - 3(2) - 25 ; 24 - 20 < 50 - 6 - 25 ; 4 < 19

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