Solve any maths problem
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Step by step
- x^{2} \leq 9
Start from the inequality.
- x^{2} - 9 <= 0
Move everything to the left so we compare against 0.
- x = -3, x = 3
Find the critical points: where the expression equals 0 (or is undefined). They split the number line into test intervals.
- (-\infty,\, -3): +\;\;(-3,\, 3): -\;\;(3,\, \infty): +
Test a point inside each interval to find the sign of the expression there.
- \left[-3, 3\right]
Keep the intervals whose sign satisfies the inequality (closed endpoints for ≤ / ≥, open for < / >).
- -3 \leq x \wedge x \leq 3
The same answer written as inequalities.
Reveal the answer
-3 \leq x \wedge x \leq 3