Question

2) 9,5x - 11 < 11,5x + 3;​

Answer 1

Ответ:

$x > - 7$

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Answer 2

To solve the inequality $9.5x - 11 < 11.5x + 3$, we'll isolate $x$ by performing the necessary operations step by step:

$9.5x - 11 < 11.5x + 3$

First, let's simplify the inequality by collecting similar terms:

$9.5x - 11 < 11.5x + 3$

Next, let's get all the $x$ terms on one side and the constants on the other side:

$9.5x - 11.5x < 3 + 11$

Now, combine the $x$ terms and constants:

$-2x < 14$

Next, divide both sides by $-2$ (note that dividing by a negative number reverses the inequality):

$x > \frac{-14}{2}$

Simplifying this gives:

$x > -7$

So, the solution to the inequality is $x > -7$.