Answer:
Explanation:
The inequality that represents all the solutions of 10(3x + 2) > 7(2x − 4) is 10(3x + 2) > 7(2x − 4). To solve this inequality, first we must combine like terms on each side of the inequality. On the left side, 10(3x + 2) becomes 30x + 20. On the right side, 7(2x − 4) becomes 14x − 28. After combining the like terms, the inequality becomes 30x + 20 > 14x − 28. Next, we must subtract 14x from both sides of the inequality. On the left side, 30x + 20 becomes 16x + 20. On the right side, 14x − 28 becomes −28. After subtracting 14x from both sides, the inequality becomes 16x + 20 > −28. Finally, we must subtract 20 from both sides of the inequality. On the left side, 16x + 20 becomes 16x. On the right side, −28 becomes −48. After subtracting 20 from both sides, the inequality becomes 16x > −48. To solve the inequality, we must divide both sides of the inequality by 16. On the left side, 16x becomes x. On the right side, −48 becomes −3. Therefore, the solution to the inequality is x > −3.