Question

17(3x-1)-50x+1<2(x+4) и 2(6-5x)<10(1-1,2x)

Answer 1

Ответ на фотографии,

Answer 2

To solve the inequalities, let's work through them step by step.

Inequality 1: 17(3x - 1) - 50x + 1 < 2(x + 4)

Expand the terms:

51x - 17 - 50x + 1 < 2x + 8

Simplify:

x - 16 < 2x + 8

Subtract x from both sides:

-16 < x + 8

Subtract 8 from both sides:

-24 < x

This can also be written as: x > -24.

Inequality 2: 2(6 - 5x) < 10(1 - 1.2x)

Expand the terms:

12 - 10x < 10 - 12x

Add 12x to both sides:

12x + 12 - 10x < 10

Combine like terms:

2x + 12 < 10

Subtract 12 from both sides:

2x < -2

Divide by 2:

x < -1

So the solution for the second inequality is: x < -1.

Putting it all together:

For the first inequality: x > -24. For the second inequality: x < -1.

Therefore, the combined solution for both inequalities is: -24 < x < -1.