Question

Select the graph for the solution of the open sentence. Click until the correct graph appears.|x| + 1 >

Answer 1

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

$(-\infty,-2.5)U(2.5,\bar{\infty})$

Number line

Final Answer

The range is

$(-\infty,-2.5)U(2.5,\bar{\infty})$