How do solve x^2>4 and write the answer as a inequality and interval notation?
2 Answers
Interval notation:
Explanation:
To solve, all we need to do is take the square root of both sides to get
Which is true either when
To express the answer in interval notation,we think about which interval satisfies this inequality. It's simply all numbers less than
We can write the interval like so:
The
Explanation:
Given:
x^2 > 4
Subtract
x^2-4 > 0
Factor the left hand side to find:
(x-2)(x+2) > 0
The left hand side is positive if both of the factors are positive or both of the factors are negative.
Hence:
x < -2" " or" "x > 2
In interval notation:
x in (-oo, -2) uu (2, oo)
