Question

3,7х-28>-4,3х - 12 25,1х - 16,6<18,1х-18,4

Answer 1

Ответ:

1) 3,7х+4,3х>-12+28

8х>16

х>2

2) 25,1х-18,1х<-18,4+16,6

7х<1,8

х<1,8/7

Answer 2

To solve the inequalities, you'll want to isolate the variable x. Let's work through each inequality one by one:

1. $3.7x - 28 > -4.3x - 12$

First, let's add $4.3x$ to both sides of the inequality to isolate the $x$ terms on one side:

$3.7x + 4.3x - 28 > -12$

Combine the $x$ terms:

$8x - 28 > -12$

Now, add 28 to both sides to isolate the $8x$ term:

$8x > 16$

Finally, divide both sides by 8 to solve for $x$:

$x > 2$

So, the solution to this inequality is $x > 2$.

2. $25.1x - 16.6 < 18.1x - 18.4$

First, let's subtract $18.1x$ from both sides of the inequality to isolate the $x$ terms on one side:

$25.1x - 18.1x - 16.6 < -18.4$

Combine the $x$ terms:

$7x - 16.6 < -18.4$

Now, add 16.6 to both sides to isolate the $7x$ term:

$7x < -18.4 + 16.6$

$7x < -1.8$

Finally, divide both sides by 7 to solve for $x$:

$x < -1.8/7$

$x < -0.2571$ (rounded to four decimal places)

So, the solution to this inequality is $x < -0.2571$.

To summarize:

1. $x > 2$
2. $x < -0.2571$