This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Set up the first inequality. The problem states that 2n is greater than 30. 2n > 30 Step 2: Solve the first inequality for n. Divide both sides by 2: n > (30)/(2) n > 15 Step 3: Set up the second inequality. The problem states that 5n is less than 100. 5n < 100 Step 4: Solve the second inequality for n. Divide both sides by 5: n < (100)/(5) n < 20 Step 5: Combine the inequalities. We have two conditions for n: n > 15 and n < 20. This can be written as a single compound inequality: 15 < n < 20 Step 6: Identify all whole numbers that satisfy the combined inequality. A whole number is a non-negative integer. We need to find all integers strictly between 15 and 20. These numbers are 16, 17, 18, and 19. The numbers that n stands for are 16, 17, 18, 19.