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Algebra · Inequalities

Solve x^2 + x - 6 < 0

x^{2} + x - 6 < 0

x^{2} + x - 6 < 0
Start from the inequality.
x^{2} + x - 6 < 0
Move everything to the left so we compare against 0.
x = -3, x = 2
Find the critical points — where the expression equals 0 (or is undefined). They split the number line into test intervals.
(-\infty,\, -3): +\;\;(-3,\, 2): -\;\;(2,\, \infty): +
Test a point inside each interval to find the sign of the expression there.
\left(-3, 2\right)
Keep the intervals whose sign satisfies the inequality (closed endpoints for ≤ / ≥, open for < / >).
-3 < x \wedge x < 2
The same answer written as inequalities.

Mutasd meg a választ!

-3 < x \wedge x < 2