Question

12х + 8>10 - 6х (линейное неравенство)

Answer 1

12x+8>10-6x
6x+4>5-3x
9x>1
x>1/9
x∈(1/9; +∞)

Answer 2

To solve the linear inequality $12x + 8 > 10 - 6x$, follow these steps:

Step 1: Get all the $x$ terms on one side of the inequality. To do this, add $6x$ to both sides: $12x + 8 + 6x > 10 - 6x + 6x$

Simplifying: $18x + 8 > 10$

Step 2: Get the constant term on the other side by subtracting 8 from both sides: $18x + 8 - 8 > 10 - 8$

Simplifying: $18x > 2$

Step 3: Isolate $x$ by dividing both sides by 18. Since we are dividing by a positive number, the inequality sign remains the same: $\dfrac{18x}{18} > \dfrac{2}{18}$

Simplifying: $x > \dfrac{1}{9}$

So, the solution to the inequality is $x > \dfrac{1}{9}$.