Question

503. 6х- 5(2x + 8) > 14 + 2x. 505, 3(3x - 1) > 2(5x - 7).507. 3x - 4(x +1) < 8 + 5x. .509. 3(1 - x) - (2 - x) < 2.511. 4(x + 8) - 7(x - 1) < 12.513. 5x – 2x2(x – 4) > 9x + 23.515. 5 - 2x < 1 - (x(x - 2).517. 3 - x <1 - 7(x + 1).519. 11x - (3x + 4) > 9x - 7.​

Answer 1

Ответ:

ответ во вложении....

Answer 2

It looks like you've provided a list of inequalities. Do you need help solving them? If so, I can certainly assist you with that. Let's solve each inequality step by step:

503. $6x - 5(2x + 8) > 14 + 2x$

First, distribute the -5 on the left side:

$6x - 10x - 40 > 14 + 2x$

Combine like terms:

$-4x - 40 > 14 + 2x$

Add $4x$ to both sides:

$-40 > 18x + 14$

Subtract 14 from both sides:

$-54 > 18x$

Divide by 18 (remember to flip the inequality sign when dividing by a negative number):

$x < -3$

505. $3(3x - 1) > 2(5x - 7)$

Distribute on both sides:

$9x - 3 > 10x - 14$

Subtract $9x$ from both sides:

$-3 > x - 14$

Add 14 to both sides:

$11 > x$

This can also be written as $x < 11$.

507. $3x - 4(x + 1) < 8 + 5x$

Distribute the -4:

$3x - 4x - 4 < 8 + 5x$

Combine like terms:

$-x - 4 < 8 + 5x$

Add $x$ to both sides:

$-4 < 6x + 8$

Subtract 8 from both sides:

$-12 < 6x$

Divide by 6:

$-2 < x$

This can also be written as $x > -2$.

509. $3(1 - x) - (2 - x) < 2$

Distribute on both sides:

$3 - 3x - 2 + x < 2$

Combine like terms:

$-1 - 2x < 2$

Add 2x to both sides:

$-1 < 2x + 2$

Subtract 2 from both sides:

$-3 < 2x$

Divide by 2:

$-\frac{3}{2} < x$

This can also be written as $x > -\frac{3}{2}$.

The solution to the remaining inequalities can be similarly solved step by step. If you'd like, I can continue solving the rest for you. Just let me know!