Question

8x-19>10x+117x+14<12x+39​

Answer 1

Ответ:

8x-19>10x+11

7X+14<12x+39

8x-10x>11+19

7x-12x<39-14

-2x>30 (делим на -2)

-5x<25 (делим на -5)

x>-15

x<-5

Пошаговое объяснение:

Answer 2

To solve these inequalities, we'll work with each one separately:

1. $8x - 19 > 10x + 11$

First, let's isolate the variable $x$:

Subtract $10x$ from both sides:

$8x - 10x - 19 > 11$

Simplify:

$-2x - 19 > 11$

Now, add 19 to both sides:

$-2x - 19 + 19 > 11 + 19$

Simplify:

$-2x > 30$

To solve for $x$, divide both sides by -2. When you divide by a negative number, flip the inequality:

$-2x / -2 < 30 / -2$

Simplify:

$x < -15$

So, the solution to the first inequality is $x < -15$.

2. $7x + 14 < 12x + 39$

Let's isolate the variable $x$ again:

Subtract $12x$ from both sides:

$7x - 12x + 14 < 39$

Simplify:

$-5x + 14 < 39$

Now, subtract 14 from both sides:

$-5x + 14 - 14 < 39 - 14$

Simplify:

$-5x < 25$

To solve for $x$, divide both sides by -5. Remember to flip the inequality when dividing by a negative number:

$-5x / -5 > 25 / -5$

Simplify:

$x > -5$

So, the solution to the second inequality is $x > -5$.

Now, you have the solutions to both inequalities:

1. $x < -15$
2. $x > -5$