Thread: inequality

Solve the inequality |x+4|+|x-1|>5 .

I know the strategy here is to get rid of the modulus by picking cases .

my questino here is how to pick these cases ?

Originally Posted by hooke

Solve the inequality |x+4|+|x-1|>5 .

I know the strategy here is to get rid of the modulus by picking cases .

my questino here is how to pick these cases ?

Use the definition of the absolute value:



With your example you have:





You now have 3 intervals with different inequalities:



Solve for x.

Draw the graphs of

and y = 5

Determine those points on the graph of f where the y-coordinate is greater than 5.

Originally Posted by earboth

Use the definition of the absolute value:



With your example you have:





You now have 3 intervals with different inequalities:



Solve for x.

Draw the graphs of

and y = 5

Determine those points on the graph of f where the y-coordinate is greater than 5.

hey thank you for clarifying !