Ҳар як масъалаи математикиро ҳал кунед

Қадами ба қадам

1. 2 x - 5 < 3

   Start from the inequality.

2. 2 x - 8 < 0

   Move everything to the left so we compare against 0.

3. x = 4

   Find the critical points — where the expression equals 0 (or is undefined). They split the number line into test intervals.

4. (-\infty,\, 4): -\;\;(4,\, \infty): +

   Test a point inside each interval to find the sign of the expression there.

5. \left(-\infty, 4\right)

   Keep the intervals whose sign satisfies the inequality (closed endpoints for ≤ / ≥, open for < / >).

6. -\infty < x \wedge x < 4

   The same answer written as inequalities.

Ҷавоби ҷавобро нишон диҳед

-\infty < x \wedge x < 4