Exercise 77 Page 442

Before solving the radical inequality, recall that the radicand of a square root must be greater than or equal to 0. 6-sqrt(3x+5) ≤ 3 Let's start by identifying any values of x for which the inequality is defined.

After we solve the given inequality, we can combine the above information to obtain the final solution set. Let's now solve the inequality.

Now we can combine the two intervals.

The intersection of both solutions, which is the final solution set of the given inequality, is x≥ 43.