Question

3x+6>8(x-1) решите уравнение

Answer 1

3x+6>8x-8

3x-8x>-8-6

-5x>-14

x<2,8

x∈(-∞;2,8)

Answer 2

To solve the inequality $3x+6>8(x-1)$, follow these steps:

Step 1: Distribute the $8$ on the right side of the inequality:

$3x + 6 > 8x - 8$

Step 2: Move all $x$ terms to one side of the inequality and the constant terms to the other side. You can do this by subtracting $3x$ from both sides:

$3x - 3x + 6 > 8x - 3x - 8$

Simplifying:

$6 > 5x - 8$

Step 3: Now, isolate the $x$ term by adding $8$ to both sides of the inequality:

$6 + 8 > 5x - 8 + 8$

Simplifying:

$14 > 5x$

Step 4: Finally, divide both sides by $5$ to solve for $x$:

$\frac{14}{5} > \frac{5x}{5}$

Simplifying:

$\frac{14}{5} > x$

So, the solution to the inequality is:

$x > \frac{14}{5}$

This means that any value of $x$ greater than $\frac{14}{5}$ will satisfy the original inequality.