1/3​s−6<24 (A) s (B) s (C) s (D) s

Question

1/3​s−6<24
(A) s<6
(B) s
(C) s<54
(D) s

Answer 1

The solution to the inequality 1/3​s−6 is less than 24 is to isolate s, resulting in s being less than 90. Hence, the correct answer is option (D) s<90.

Step-by-step explanation:

The student is asking to solve the inequality 1/3​s−6 is less than 24. To solve this inequality, we need to perform algebraic operations to isolate s on one side. Here is a step-by-step solution:

1. Add 6 to both sides of the inequality: 1/3​s < 24 + 6.
2. Simplify the right side: 1/3​s < 30.
3. Multiply both sides by 3 to eliminate the fraction: s < 90.

Now that we've isolated s, we understand that the solution to the inequality is s, which corresponds to option (D).