Question

8х-9-3(4х-12)<2х+1714(х-1)-19х+31>1-2х​

Answer 1

Ответ:

8х-9-12х+36< 2х+17

8х-12х-2х<9-36+17

-6х< -10

х>5/3

14х-14-19х+31> 1-2х

14х-19х+2х>14-31+1

-3х> -16

х<16/3

Answer 2

To solve this inequality, let's break it down step by step:

Given inequality: 8x - 9 - 3(4x - 12) < 2x + 1714(x - 1) - 19x + 31 > 1 - 2x

Step 1: Distribute the terms within the parentheses:

8x - 9 - 12x + 36 < 2x + 1714x - 1714 - 19x + 31 > 1 - 2x

Step 2: Combine like terms on both sides:

-4x + 27 < 697x - 1683 > -2x + 32

Step 3: Move all the terms containing x to one side and constants to the other side of the inequalities:

-4x - 697x < -1683 - 27 and -2x + 32 > -2x - 1

-701x < -1710 and 32 > -1

Step 4: Divide both sides of the first inequality by -701 (note that dividing by a negative number reverses the inequality):

x > 1710 / 701

Step 5: Since the second inequality is true for any value of x (32 is always greater than -1), we don't need to consider it further.

So, the solution to the inequality is:

x > 1710 / 701

You can leave the answer in fractional form, or you can calculate the decimal approximation for a specific numerical value.