Question

1,3x +2 > 10 - 2,7x16x - 29 > 17x - 34​

Answer 1

Ответ:

Пошаговое объяснение:

$1.3x+2>10-2.7x\\1.3x+2.7x>10-2\\4x>8\\x>2$

Ответ:x∈(2;+∞)

16x-29>17x-34

16x-17x>-34+29

-x>-5

x<5

Ответ:x∈(-∞;5)

Answer 2

To solve the inequalities, let's start with the first one:

1. $1.3x + 2 > 10 - 2.7x$

To solve this inequality, we need to isolate the variable $x$ on one side of the inequality sign. Follow these steps:

Step 1: Get all $x$ terms on one side and constants on the other side. Add $2.7x$ to both sides to move all the $x$ terms to the left side:

$1.3x + 2.7x + 2 > 10$

Step 2: Combine the $x$ terms on the left side:

$4x + 2 > 10$

Step 3: Get rid of the constant term on the left side by subtracting $2$ from both sides:

$4x > 8$

Step 4: Finally, isolate $x$ by dividing both sides by $4$. Since we're dividing by a positive number, the inequality remains the same:

$x > \frac{8}{4}$

$x > 2$

So the solution to the first inequality is $x > 2$.

Now, let's solve the second inequality:

2. $16x - 29 > 17x - 34$

Step 1: Get all $x$ terms on one side and constants on the other side. Subtract $16x$ from both sides to move all the $x$ terms to the left side:

$-29 > 17x - 16x - 34$

Step 2: Combine the $x$ terms on the left side:

$-29 > x - 34$

Step 3: Get rid of the constant term on the right side by adding $34$ to both sides:

$-29 + 34 > x$

$5 > x$

So the solution to the second inequality is $x < 5$.

In summary, the solutions to the given inequalities are:

1. $x > 2$
2. $x < 5$