Question

3<х-2<5 розязати нерівність

Answer 1

$\displaystyle \tt 3$

Answer 2

$3 < x - 2 < 5 \ \ \ | + 2$

$5 < x < 7$

Відповідь: $5 < x < 7$ або в такій формі $x \in (5; \ 7)$

Answer 3

To solve the inequality 3 < x - 2 < 5, we need to find the range of values for x that satisfy this inequality.

Step 1: Solve for x - 2: Add 2 to all parts of the inequality: 3 + 2 < x - 2 + 2 < 5 + 2 5 < x < 7

Step 2: Final Answer: The solution to the inequality is 5 < x < 7. This means any value of x within the open interval (5, 7) will satisfy the inequality.