Question

3x-27<0 2,5x>5 розвязати системи

Answer 1

Ответ:

xє(2;9)

Объяснение:

вот все решено....

Answer 2

$\displaystyle \left \{ {{3x-275}} \right. \Longleftrightarrow\left \{ {{3x5:2,5}} \right. \Longleftrightarrow~\left \{ {{x2}} \Longleftrightarrow\left \{ {{x2}} \right. \right. \Longleftrightarrow~x\in(2~;9).$

Answer 3

Solving the Inequality 3x - 27 < 0

To solve the inequality 3x - 27 < 0, we need to find the values of x that make the inequality true. Let's go step by step:

Step 1: Add 27 to both sides of the inequality to isolate the term with x: 3x - 27 + 27 < 0 + 27 3x < 27

Step 2: Divide both sides of the inequality by 3 to solve for x: (3x)/3 < 27/3 x < 9

Therefore, the solution to the inequality 3x - 27 < 0 is x < 9.

Solving the Inequality 2.5x > 5

To solve the inequality 2.5x > 5, we need to find the values of x that make the inequality true. Let's go step by step:

Step 1: Divide both sides of the inequality by 2.5 to isolate the term with x: (2.5x)/2.5 > 5/2.5 x > 2

Therefore, the solution to the inequality 2.5x > 5 is x > 2.

Solving the System of Inequalities

To solve the system of inequalities, we need to find the values of x that satisfy both inequalities simultaneously. Let's combine the two inequalities:

x < 9 (from the first inequality) x > 2 (from the second inequality)

To find the values of x that satisfy both inequalities, we need to find the intersection of the two solution sets. In this case, the solution set is x > 2 and x < 9. The values of x that satisfy both inequalities are between 2 and 9, excluding the endpoints.

Therefore, the solution to the system of inequalities is 2 < x < 9.

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