Question

-2<x-5<7    Решите пожалуйста

Answer 1

-2<х-5 <7

х-5>-2
х -5 <7

х>3
х<12

х € [3,12]

Answer 2

To solve the compound inequality -2 < x - 5 < 7, we need to find the range of values for x that satisfy this inequality.

Step 1: Solve the first inequality: -2 < x - 5

Add 5 to both sides of the inequality to isolate x: -2 + 5 < x - 5 + 5 3 < x

Step 2: Solve the second inequality: x - 5 < 7

Add 5 to both sides of the inequality to isolate x: x - 5 + 5 < 7 + 5 x < 12

So, the solution to the compound inequality is 3 < x < 12. This means that any value of x between 3 and 12 (exclusive) will satisfy the original inequality.