Question

3) 4 (2х - 1) - 3(х + 6) > х

Answer 1

$4x > 22 \\ x > 5.5$

Answer 2

4 (2х - 1) - 3(х + 6) > х
8х-4-3х-18>x
8x-3x-x>4+18
4x>22
x>5,5

Answer 3

To solve the inequality $4(2x - 1) - 3(x + 6) > x$, you can follow these steps:

1. Distribute the constants outside the parentheses to the terms inside the parentheses:

$8x - 4 - 3x - 18 > x$

2. Combine like terms on the left side of the inequality:

$8x - 3x - 4 - 18 > x$

$5x - 22 > x$

3. Move the variable terms (those containing 'x') to one side of the inequality and the constant terms to the other side. To do this, subtract $x$ from both sides of the inequality:

$5x - x - 22 > 0$

$4x - 22 > 0$

4. Now, we need to isolate $x$ by adding 22 to both sides:

$4x - 22 + 22 > 0 + 22$

$4x > 22$

5. Finally, divide both sides by 4 to solve for (x:

$\frac{4x}{4} > \frac{22}{4}$

$x > \frac{22}{4}$

Simplify the right side:

$x > \frac{11}{2}$

So, the solution to the inequality $4(2x - 1) - 3(x + 6) > x$ is $x > \frac{11}{2}$.