Question

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

A. s ≤ 9
B. s ≤ 1/3
C. s ≤ 5/9
D. s ≤ 3

Answer 1

◆ INEQUALITIES ◆


`given \: expression \: \: - \\ \\ 12s - 20 \leqslant 50 - 3s - 25 \\ \\ 12s - 20 \leqslant 25 - 3s \\ \\ adding \: 20 \: both \: sides \: \: , \: \\ we \: get \: - \\ \\ 12 s \leqslant 45 - 3s \\ \\ 12s + 3s \leqslant 45 \\ \\ 15s \leqslant 45 \\ s \leqslant (45)/(15) \\ \\ \\ s \leqslant 3 \: \: \: \: \: \: ans.`