Question

3х (3х-1)-9х²≤2х+6 пж

Answer 1

х ≤ _6/5

вот ответ!                                                

Answer 2

Sure, I can help you solve the inequality.

The given inequality is: 3x(3x-1) - 9x^2 ≤ 2x + 6

Step 1: Simplify the expression on the left side of the inequality. 3x(3x-1) - 9x^2 simplifies to 9x^2 - 3x - 9x^2 which further simplifies to -3x.

So, the inequality becomes: -3x ≤ 2x + 6

Step 2: Move all the x terms to one side and the constants to the other side of the inequality. Add 3x to both sides: -3x + 3x ≤ 2x + 6 + 3x

Simplify: 0 ≤ 5x + 6

Step 3: Isolate x on one side of the inequality. To do that, subtract 6 from both sides: 0 - 6 ≤ 5x + 6 - 6

Simplify: -6 ≤ 5x

Step 4: Finally, solve for x by dividing both sides by 5: x ≥ -6/5

So, the solution to the inequality is: x ≥ -6/5 or x can take any value greater than or equal to -1.2.

In interval notation: x ∈ [-6/5, +∞)