Answer:
Step-by-step explanation:
Given the inequality
|x|> 1
The modulus of x shows that x can be both positive and negative value.
If x is positive:
x>1
1<x
If x is negative:
-x>1
Multiplying both sides of the inequality by minus will change the inequality sign
x < -1
Combining both inequalities:
1<x<-1
Find the position on the number line in the attachment
Answer:
The width of the garden bed must be less than or equal to 4 feet.
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
Given;
The length is 6 feet;
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
Therefore, the width of the garden bed must be less than or equal to 4 feet.