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
Here's a verification of your answers: 1. Which of the following inequalities is true or false? a) -250 < -150 -250 is indeed less than -150. Your answer: False. ✅ Correct answer: True*. Your answer is ❌ Incorrect. b) 2 -2 2 is not less than or equal to -2. Your answer: False. ✅ Correct answer: False*. Your answer is ✅ Correct. c) 5 > -2 5 is indeed greater than -2. Your answer: True. ✅ Correct answer: True*. Your answer is ✅ Correct. d) 6 6 6 is equal to 6, so 6 6 is false. Your answer: False. ✅ Correct answer: False*. Your answer is ✅ Correct. e) -3 = 3 -3 is not equal to 3. Your answer: False. ✅ Correct answer: False*. Your answer is ✅ Correct. f) 5 -2 5 is indeed greater than or equal to -2. Your answer: False. ✅ Correct answer: True*. Your answer is ❌ Incorrect. 2. In each of the following, insert a correct inequality symbol in the box to make the statement true. a) -5 × (-3) ? 8 × (-3) Step 1: Calculate both sides. -5 × (-3) = 15 8 × (-3) = -24 Step 2: Compare the results. 15 > -24 Your symbol: > ✅ Correct symbol: >. Your answer is ✅ Correct. b) 13 × (-2) ? 7 × (-2) Step 1: Calculate both sides. 13 × (-2) = -26 7 × (-2) = -14 Step 2: Compare the results. -26 < -14 Your symbol: > ✅ Correct symbol: <. Your answer is ❌ Incorrect. c) 8 × (5) ? 2 × (-5) Step 1: Calculate both sides. 8 × (5) = 40 2 × (-5) = -10 Step 2: Compare the results. 40 > -10 Your symbol: > ✅ Correct symbol: >. Your answer is ✅ Correct. d) 6 × (-4) ? 3 × (-4) Step 1: Calculate both sides. 6 × (-4) = -24 3 × (-4) = -12 Step 2: Compare the results. -24 < -12 Your symbol: > ✅ Correct symbol: <. Your answer is ❌ Incorrect.