Question

Решите неравенство 4-2x≤1-(4x-1) решите пожалуйста

Answer 1

4-2x≤1-(4x-1)
4-2x≤1-4x+1
-2x+4x≤1-4
2x≤-3
x≤-3/2
x≤-1,5
[-∞ ;-1,5]

Answer 2

Problem Statement

We are given the inequality: 4 - 2x ≤ 1 - (4x - 1). We need to solve this inequality.

Solution

To solve the inequality, we will simplify both sides and isolate the variable x.

Starting with the left side of the inequality: 4 - 2x

And the right side of the inequality: 1 - (4x - 1)

Expanding the brackets on the right side: 1 - 4x + 1

Simplifying the right side: 2 - 4x

Now we have the inequality: 4 - 2x ≤ 2 - 4x

To isolate the variable x, we can move all the terms containing x to one side of the inequality and the constant terms to the other side.

Adding 4x to both sides: 4 - 2x + 4x ≤ 2 - 4x + 4x

Simplifying: 4 + 2x ≤ 2

Subtracting 4 from both sides: 4 + 2x - 4 ≤ 2 - 4

Simplifying: 2x ≤ -2

Dividing both sides by 2: (2x)/2 ≤ (-2)/2

Simplifying: x ≤ -1

Therefore, the solution to the inequality 4 - 2x ≤ 1 - (4x - 1) is x ≤ -1.

Answer: x ≤ -1