2(х-1)-3(х+2)<6(1+x)

Предыдущий
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вопрос

To solve the inequality 2(x-1) - 3(x+2) < 6(1+x), we must first distribute the coefficients and simplify the expression:

2x - 2 - 3x - 6 < 6 + 6x

Next, combine like terms:

-x - 8 < 6 + 6x

Now, add x to both sides of the inequality:

-8 < 6 + 7x

Subtract 6 from both sides:

-14 < 7x

Finally, divide by 7 to isolate x:

-2 < x

So, the solution to the inequality is x > -2.