Solve the inequality. Write the solution set in interval notation.
-$$x ^ { 2 } - 3 x - 10

Question

Solve the inequality. Write the solution set in interval notation.
-$$x ^ { 2 } - 3 x - 10 < 0$$
A) $( - \infty , - 2 ) \cup ( 5 , \infty )$
B) $( - 2,5 )$
C) $( 5 , \infty )$
D) $( - \infty , - 2 )$

Quizplus · Accepted Answer

First, factor the quadratic inequality: $x^2 - 3x - 10 = (x - 5)(x + 2)$. The critical points are $x = 5$ and $x = -2$. Testing intervals around these points shows that the inequality is satisfied for $x$ in the interval $(-2, 5)$.

Solve the Inequality x2−3x−10<0x ^ { 2 } - 3 x - 10 < 0x2−3x−10<0

Solve the Inequality $x ^ { 2 } - 3 x - 10 < 0$