Given
|x| + 1 > 7/2
Find
Plot on number line
Explanation
|x| + 1 > 7/2
|x| + 1 > 3.5
|x| > 2.5
which has 2 cases
1)
x > 2.5
2)
-x > 2.5
=> x < 2.5
which has the range as
[tex](-\infty,-2.5)U(2.5,\bar{\infty})[/tex]
Number line
Final Answer
The range is
[tex](-\infty,-2.5)U(2.5,\bar{\infty})[/tex]
