Example: \( 300000+5<300500 \) a. \( 75001+9 \) \( \square \) \( \geq \) 75100 c. \( 2800-800 \) \( \square \) \( < \) 2008 e. 5556 \( \square \) 5655-100 b. 3838 \( \square \) \( < \) \( 3888-50 \) d. \( 50000+3 \) \( \square \) 50300 f. \( 200000+50 \) \( \square \) \( 200050+50 \) Roblem solving

Sure, let's solve each of the given inequalities by determining the correct comparison symbol (such as `<`, `>`, `=`, `≤`, or `≥`) to make the statement true. ### Problem a **Statement:** \(75001 + 9 \, \square \, 75100\) **Calculation:** \[ 75001 + 9 = 75010 \] \[ 75010 \, \square \, 75100 \] **Comparison:** \[ 75010 < 75100 \] **Answer:** \(<\) --- ### Problem b **Statement:** \(3838 \, \square \, (3888 - 50)\) **Calculation:** \[ 3888 - 50 = 3838 \] \[ 3838 \, \square \, 3838 \] **Comparison:** \[ 3838 = 3838 \] **Answer:** \(=\) --- ### Problem c **Statement:** \(2800 - 800 \, \square \, 2008\) **Calculation:** \[ 2800 - 800 = 2000 \] \[ 2000 \, \square \, 2008 \] **Comparison:** \[ 2000 < 2008 \] **Answer:** \(<\) --- ### Problem d **Statement:** \(50000 + 3 \, \square \, 50300\) **Calculation:** \[ 50000 + 3 = 50003 \] \[ 50003 \, \square \, 50300 \] **Comparison:** \[ 50003 < 50300 \] **Answer:** \(<\) --- ### Problem e **Statement:** \(5556 \, \square \, (5655 - 100)\) **Calculation:** \[ 5655 - 100 = 5555 \] \[ 5556 \, \square \, 5555 \] **Comparison:** \[ 5556 > 5555 \] **Answer:** \(>\) --- ### Problem f **Statement:** \(200000 + 50 \, \square \, (200050 + 50)\) **Calculation:** \[ 200000 + 50 = 200050 \] \[ 200050 + 50 = 200100 \] \[ 200050 \, \square \, 200100 \] **Comparison:** \[ 200050 < 200100 \] **Answer:** \(<\) --- ### Summary of Answers a. \(<\) b. \(=\) c. \(<\) d. \(<\) e. \(>\) f. \(<\) If you have any further questions or need additional explanations, feel free to ask!