Patrice is looking into joining a gym. she has a budget of $44 per month. the gym she wants to join has fees based on the number of visits plus a flat rate for membership. the inequality to find out how many visits, v, to the gym she can make each month is represented by 9.50 + 3v ≤ 44. she figures out that she can visit the gym 11 times with her current budget. is this solution viable? explain.