Question

Система 5x+7>02x-6>0

Answer 1

5x+7>0
2x-6>0
1. 5x+7>0
5x>-7
x> -7/5
x> -1 2/5
2. 2x-6>0
2x<6
x<3
(-знак бесконечности; -1 2/5) (-1 2/5; 3) (3; знак бесконечности)

*сорри, что криво, просто в маршрутке еду*

Answer 2

It appears that you have written a compound inequality: 5x + 7 > 0 and 2x - 6 > 0. To solve this compound inequality, we'll need to find the values of x that satisfy both individual inequalities. Let's solve them one by one:

1. 5x + 7 > 0: To solve this inequality, we need to isolate x on one side of the inequality sign. Subtract 7 from both sides: 5x + 7 - 7 > 0 - 7 5x > -7

Now, divide both sides by 5 to get the value of x: x > -7/5

2. 2x - 6 > 0: Similarly, isolate x on one side by adding 6 to both sides: 2x - 6 + 6 > 0 + 6 2x > 6

Now, divide both sides by 2 to get the value of x: x > 3

So, the solutions to the individual inequalities are x > -7/5 and x > 3.

However, this is a compound inequality, and we need to find the intersection of the two solutions. Since both inequalities have the "greater than" sign (>), the solution will be the values of x that are greater than the larger of the two values we found, which is 3.

Therefore, the solution to the compound inequality is x > 3.