What is the solution set of the quadratic inequality x squared minus 5 is less than or equal to 0 ?
Answer
A
start set x such that negative 5 is less than or equal to x comma x is less than or equal to 5 end set
B
start set x such that negative square root of 5 is less than or equal to x comma x is less than or equal to 5 end set
C
start set x such that negative 5 is less than or equal to x comma x is less than or equal to square root of 5 end set
D
start set x such that negative square root of 5 is less than or equal to x comma x is less than or equal to square root of 5 end set
Explanation
Solve x² − 5 ≤ 0 by adding 5 to both sides, giving x² ≤ 5. This means x lies between the two square roots of 5, inclusive: −√5 ≤ x ≤ √5. Choice B gives that interval.
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