Question

5x > -45-6x > 421,2 (x+5) + 1,8 > 7 + 2x​

Answer 1

Ответ:

1) х>-45/5

х>-9

2) х>42/(-6)

х>-7

3) 1,2х+6+1,8>7+2х

1,2х-2х>7-6-1,8

-0,8х>-0,8

Пошаговое объяснение:

Знак меняется, так как мы умножаем неравенство на (-1)

0,8х<0,8

х<1

Answer 2

To solve the inequalities, we'll address them one by one:

1. 5x > -45 - 6x
2. -45 - 6x > 42.2 (I assume this was meant to be -45 - 6x > 42.2, not 421,2)
3. (x + 5) + 1.8 > 7 + 2x

Let's solve them step by step:

1. 5x > -45 - 6x

To solve this inequality, we'll isolate the variable x on one side:

Add 6x to both sides to move the terms with x to the left side: 5x + 6x > -45

Combine like terms: 11x > -45

Now, divide both sides by 11 to isolate x: x > -45/11

2. -45 - 6x > 42.2

To solve this inequality, we'll again isolate x on one side:

Add 45 to both sides to move the constant term to the right side: -6x > 42.2 + 45

Combine like terms: -6x > 87.2

Now, divide both sides by -6. Remember that when dividing an inequality by a negative number, the inequality sign flips: x < 87.2 / -6 x < -14.5333... (rounded to three decimal places)

3. (x + 5) + 1.8 > 7 + 2x

Let's simplify the inequality first:

x + 5 + 1.8 > 7 + 2x

Combine like terms: x + 6.8 > 7 + 2x

Now, let's isolate x on one side:

Subtract x from both sides to move the terms with x to the left side: x - x + 6.8 > 7 + 2x - x

Simplify: 6.8 > 7 + x

Subtract 7 from both sides to move the constant term to the left side: 6.8 - 7 > 7 + x - 7

Simplify: -0.2 > x

Now, the final inequality is: x < -0.2

To summarize, the solutions for the three inequalities are:

1. x > -45/11
2. x < -14.5333 (rounded to three decimal places)
3. x < -0.2