Question

3 - 5 * (2x + 4) < 7 - 2x

Answer 1

Ответ:

3 - 10х - 20 < 7 - 2х (расскрываем скобки)

3 - 10х - 20 - 7 + 2х < 0 (переносим всё влево с противоположным знаком)

-8х < 24 (числа без икса перенесли вправо)

х > -3

Answer 2

To solve the inequality $3 - 5(2x + 4) < 7 - 2x$, you'll want to isolate $x$ on one side of the inequality. Here are the steps to do that:

1. Distribute the -5 on the left side:

   $3 - 10x - 20 < 7 - 2x$

2. Move the -2x term from the right side to the left side by adding 2x to both sides:

   $3 - 10x - 20 + 2x < 7$

3. Combine like terms on the left side:

   $-8x - 17 < 7$

4. Add 17 to both sides to isolate the term with x:

   $-8x < 24$

5. Finally, divide both sides by -8. Remember that when you divide an inequality by a negative number, you need to reverse the direction of the inequality:

   $x > \frac{24}{-8}$

   Simplify the right side:

   $x > -3$

So, the solution to the inequality is $x > -3$.