Question

4(х – 1) – 8х < 5х + 5

Answer 1

Вот тебе все решение :)

Answer 2

4(х – 1) – 8х < 5х + 5
4x - 4 - 8x < 5x + 5
4x - 5x - 8x < 5 + 4
-9x < 9  I  : (-9)
x > -1
Ответ: ( -1; +∞ ).

Answer 3

To solve the inequality 4(x - 1) - 8x < 5x + 5, follow these steps:

Step 1: Distribute the coefficients on the left side of the inequality: 4x - 4 - 8x < 5x + 5

Step 2: Combine like terms on both sides of the inequality: (4x - 8x) - 4 < 5x + 5

Step 3: Simplify the expressions: -4x - 4 < 5x + 5

Step 4: Get all the x terms on one side and the constants on the other side. To do that, let's move 5x to the left side by subtracting 5x from both sides: -4x - 5x - 4 < 5

Step 5: Combine the x terms on the left side: -9x - 4 < 5

Step 6: Move the constant term (4) to the right side by adding 4 to both sides: -9x < 9

Step 7: Finally, solve for x by dividing both sides by -9. Remember that when you divide or multiply an inequality by a negative number, the inequality sign flips: x > -1

So the solution to the inequality is x > -1.