Question

Which is the solution of 3(t+1) ≤ 6t - 13.5?

A t≤-5.5
B t≥-5.5
C t≤ 5.5
D t≥ 5.5

Answer 1

The solution to the inequality 3(t+1) ≤ 6t - 13.5 is found by isolating the variable t, resulting in t ≥ 5.5. The correct option is (D) t ≥ 5.5.

Step-by-step explanation:

The student was asked to find the solution of the inequality 3(t+1) ≤ 6t - 13.5. This can be approached by first distributing the 3 on the left side of the inequality, resulting in 3t + 3 ≤ 6t- 13.5. To solve for t, we then need to gather like terms. We'll subtract 3t from both sides, simplifying to 3 ≤ 3t - 13.5.

Subsequently, add 13.5 to both sides to get 16.5 ≤ 3t. Dividing both sides by 3 then gives us 5.5 ≤ t, which means that t must be greater than or equal to 5.5. Therefore, the correct option, mentioning the correct option in the final part, is (D) t ≥ 5.5.