Question

5(x-2)-x>2 1-3(x-1) < -2​

Answer 1

Ответ:

Пошаговое объяснение:

{5х-10-х-2>0

{1-3х+3+2<0

{4х>12

{3х>6

{х>3

{х>2

х∈(3; +∞)

Answer 2

Let's solve the inequalities one by one:

1. $5(x-2)-x > 2$

First, distribute the 5 on the left side:

$5x - 10 - x > 2$

Now, combine like terms on the left side:

$4x - 10 > 2$

Next, add 10 to both sides of the inequality:

$4x > 2 + 10$

$4x > 12$

Finally, divide both sides by 4:

$x > \frac{12}{4}$

$x > 3$

So, the solution to the first inequality is $x > 3$.

2. $1 - 3(x-1) < -2$

First, distribute the -3 on the left side:

$1 - 3x + 3 < -2$

Now, combine like terms on the left side:

$1 + 3 < -2$

$4 < -2$

This inequality is not true for any value of x, so there is no solution.

So, the solution to the second inequality is that there are no solutions.

In summary:

1. $x > 3$
2. No solution.