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Стъпка по стъпка

1. x^{2} \leq 9

   Start from the inequality.

2. x^{2} - 9 <= 0

   Move everything to the left so we compare against 0.

3. x = -3, x = 3

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

4. (-\infty,\, -3): +\;\;(-3,\, 3): -\;\;(3,\, \infty): +

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

5. \left[-3, 3\right]

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

6. -3 \leq x \wedge x \leq 3

   The same answer written as inequalities.

Разкрийте отговора

-3 \leq x \wedge x \leq 3