|x + 2| > or = 5, on the number line, what is the definition?

Answer 1

x + 2 >= 5 or x + 2 <= -5
x >= 3 or x <= -8

either x >= 3 OR x <= -8 Two areas shaded on number line

Answer 2

x+2 >= 5
-2 -2
------------
5-2=3
x >= 3


x+2<=-5
-2 -2
-----------
-5-2=-7
x<=-7

these mean that x is greater than or equal to 3 AND
x is less than or equal to negative 7.

so in number line the -7 arrow go to left and the 3 arrow go to right. at the number of -7 and 3 be sure you fill the dot( ■ ) and not let it have hole ( □ ).

Answer 3

You want all x for which the equation is true.
On the positive side, x>/= 3. On the negative side, x=/ -7. So if you have a number line, the area -7