Question

СРОЧНО ПО АЛГЕБРЕ!!! Решите систему неравенств!!! 4х + 17 <= 0 2x - 1 <= 5

Answer 1

$\left \{ {{4x \leq -17} \atop {2x \leq 5+1}} \right. <=> \left \{ {{x \leq -17/4} \atop {x \leq 3}} \right. <=> x \leq -17/4$ Ответ: x∈(-∞;-4,25].

Answer 2

Solution to the System of Inequalities

To solve the system of inequalities 4x + 17 <= 0 and 2x - 1 <= 5, we will solve each inequality separately and then find the intersection of their solution sets.

Let's start with the first inequality:

4x + 17 <= 0

To solve this inequality, we need to isolate the variable x. Subtracting 17 from both sides of the inequality, we get:

4x <= -17

Next, divide both sides of the inequality by 4:

x <= -17/4

Now let's move on to the second inequality:

2x - 1 <= 5

Again, we need to isolate the variable x. Adding 1 to both sides of the inequality, we get:

2x <= 6

Dividing both sides of the inequality by 2, we have:

x <= 3

Now, we need to find the intersection of the solution sets for both inequalities. Since both inequalities have the same direction (less than or equal to), the solution set will be the intersection of the two intervals.

The solution set for the system of inequalities is x <= -17/4 and x <= 3.

Therefore, the solution to the system of inequalities is x <= -17/4.

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