Respuesta :
Answer:
-\sqrt{5}< x < \sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} <5 => -\sqrt{5}< x < \sqrt{5}[/tex]
Answer:
[tex]-\sqrt{5} <x<5[/tex]
Step-by-step explanation:
The given expression is
[tex]x^{2} -5<0[/tex]
To solve this quadratic inequality, we need to isolate the variable and then apply the quadratic root at each side of the inequality, as follows
[tex]x^{2} <5\\x<\±\sqrt{5}[/tex]
Remember that a quadratic root has two results, one positive and one negative, which in this case would be
[tex]x<\sqrt{5}\\ x>-\sqrt{5}[/tex]
Remember that a negative factor changes the direction of the inequality relation to the opposite.
Therefore, the solution is
[tex]-\sqrt{5} <x<5[/tex]
That is, all values between [tex]-\sqrt{5}[/tex] and [tex]\sqrt{5}[/tex].
