
Х+1>2(3х-4) помогите прошу вас умаляююю


Ответы на вопрос

Х+1>2(3х-4)
x+1>6x-8
x-6x>-8-1
-5x>-9
x< 1,8
x∈(−∞;1,8)



Solving the Inequality
To solve the inequality x + 1 > 2(3x - 4), we can follow these steps:
1. Distribute the 2 on the right side of the inequality. 2. Combine like terms. 3. Solve for x.
Step 1: Distribute the 2
The inequality x + 1 > 2(3x - 4) can be rewritten as x + 1 > 6x - 8 after distributing the 2.
Step 2: Combine Like Terms
Next, we can combine like terms by moving all terms containing x to one side of the inequality and the constants to the other side. This gives us:
x - 6x > -8 - 1
Simplifying this, we get:
-5x > -9
Step 3: Solve for x
To solve for x, we divide both sides of the inequality by -5. However, it's important to note that when dividing or multiplying by a negative number, the direction of the inequality sign is reversed. Therefore, the inequality becomes:
x < 9/5
So, the solution to the inequality x + 1 > 2(3x - 4) is x < 9/5.
I hope this helps! If you have any further questions or need additional assistance, feel free to ask.


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