Yannick and Jean are playing a guessing game with integers. Yannick wrote these clues to help Jean guess the unknown integer.n+6≥15 and n+5

Question

Yannick and Jean are playing a guessing game with integers. Yannick wrote these clues to help Jean guess the unknown integer.n+6≥15 and n+5<15 What is the value of the unknown integer, n? NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(1 point)Responsesn=8n is equal to 8n=9n is equal to 9n=22n is equal to 22n=19

GPT-4o mini · Answer

To find the value of the integer $ n $ from the clues provided by Yannick, we will solve the inequalities step by step. 1. **Solve the first inequality:** $$ n + 6 \geq 15 $$ Subtract 6 from both sides: $$ n \geq 15 - 6 $$ $$ n \geq 9 $$ 2. **Solve the second inequality:** $$ n + 5 < 15 $$ Subtract 5 from both sides: $$ n < 15 - 5 $$ $$ n < 10 $$ 3. **Combine the results:** From the two inequalities we've derived: $$ 9 \leq n < 10 $$ The only integer that satisfies both inequalities is $ n = 9 $. Thus, the value of the unknown integer, $ n $, is $ \boxed{9} $.