SOLUTION: Solve the following inequality: |x+1|>= x-3. (The absolute value of X+1 is greater than or equal to x-3). Please show your work.

Question 905757: Solve the following inequality: |x+1|>= x-3. (The absolute value of X+1 is greater than or equal to x-3). Please show your work.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Solve for two situations.

x+1 is zero or positive gives
and therefore all x values for will work.

x+1 negative or less than zero gives

Just to be sure, use -1 and 1 as critical values making the number line into three intervals, and check in each interval for truth or falsity.

try x at -4.
abs(-4+1)>=-4-3
abs(-3)>=-7
3>=-7
TRUE. works.

Try x at 0.

TRUE. works.

try x at 5.

TRUE. also works.

The inequality seems to work for all values of x.
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