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miv72 [106K]
3 years ago
9

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

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0
12s - 20 <u><</u> 50 - 3s - 25

12s - 20 <u><</u> 50 - 3s - 25
<u>+3s                  +3s</u>
15s  - 20 <u><</u>   50 - 25
<u>        + 20   + 20    </u>
15s          <u>< </u>  70 - 25

15s          <u><</u>   45
<u>÷ 15              ÷15</u>
     s         <u><</u>  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 <u><</u> 50 - 3(3) - 25 ; 36 - 20 <u><</u> 50 - 9 - 25 ; 16 <u><</u> 16
s = 2 ⇒ 12(2) - 20 <u><</u> 50 - 3(2) - 25 ; 24 - 20 <u><</u> 50 - 6 - 25 ;   4 <u><</u> 19
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