Question

Решите неравенства;1)5x-15>02)6(x+1)>5x+33)2x+1>x-4 ---- --------- 5 > 3 Третье задание со черточкой ,это один примерЗАРАНЕЕ БОЛЬШОЕ СПАСИБООО

Answer 1

1)5х-15больше 0

5х-15=0

5х=15

х=3

2)6х+6=5х+3

х=-3

 

3)х=-5

Answer 2

1) 5x - 15 > 0

5x > 15

x > 3

2) 6(x+1)>5x+3

6x + 6 > 5x + 3

x > -3

3) (2x+1)/5 > (x-4)/3

3(3x+1) > 5(x-4)

9x + 3 > 5x - 20

4x > -16

x > -4

Answer 3

Solving Inequalities

To solve the given inequalities, let's go through each one step by step:

1) 5x - 15 > 0

To solve this inequality, we need to isolate the variable x. Let's add 15 to both sides of the inequality:

5x - 15 + 15 > 0 + 15

This simplifies to:

5x > 15

Now, divide both sides of the inequality by 5:

(5x)/5 > 15/5

This simplifies to:

x > 3

Therefore, the solution to the inequality 5x - 15 > 0 is x > 3.

2) 6(x + 1) > 5x + 3

To solve this inequality, let's distribute the 6 on the left side:

6x + 6 > 5x + 3

Next, let's isolate the variable x by subtracting 5x from both sides:

6x - 5x + 6 > 5x - 5x + 3

Simplifying further:

x + 6 > 3

Now, subtract 6 from both sides:

x + 6 - 6 > 3 - 6

This simplifies to:

x > -3

Therefore, the solution to the inequality 6(x + 1) > 5x + 3 is x > -3.

3) 2x + 1 > x - 4

To solve this inequality, let's isolate the variable x. Start by subtracting x from both sides:

2x - x + 1 > x - x - 4

Simplifying further:

x + 1 > -4

Now, subtract 1 from both sides:

x + 1 - 1 > -4 - 1

This simplifies to:

x > -5

Therefore, the solution to the inequality 2x + 1 > x - 4 is x > -5.

4) 5 > 3

The inequality 5 > 3 is true. This means that 5 is greater than 3.

Therefore, the solution to the inequality 5 > 3 is true.

I hope this helps! Let me know if you have any further questions.