Question

2*(3х-7)-5х<=3х-11

Answer 1

6x-14 -5x <= 3x-11
2x >= -3
x>= -3/2
Ответ: [-3/2, +∞)

Answer 2

To solve this inequality, let's simplify the left-hand side first and then isolate the variable $x$.

Given inequality: $2(3x - 7) - 5x \leq 3x - 11$

First, distribute the 2 on the left-hand side:

$6x - 14 - 5x \leq 3x - 11$

Combine like terms:

$(6x - 5x) - 14 \leq 3x - 11$

$x - 14 \leq 3x - 11$

Next, move the $x$ terms to one side and the constant terms to the other side:

$(x - 3x) \leq -11 + 14$

$-2x \leq 3$

Finally, divide by -2. Remember, when you divide or multiply by a negative number, the inequality sign flips:

$x \geq -\frac{3}{2}$

So the solution to the given inequality is $x \geq -\frac{3}{2}$.