Question
Please help me graph this
Absolute value x+1 inside absolute brackets -3<4
Where would this be on a graph line?
Absolute value x+1 inside absolute brackets -3<4
Where would this be on a graph line?
Answers
Steve
Not clear just what you mean, but if it's
|x+1| - 3 < 3
|x+1| < 6
Then either x+1 >= 0 (x >= 1) and
x+1 < 6
x < 5
or x+1 < 0 (x < -1) and
-(x+1) < 6
-x < 7
x > -7
So, we have
-7 < x < -1 or -1<=x<5
that is,
-7 < x < 5
|x+1| - 3 < 3
|x+1| < 6
Then either x+1 >= 0 (x >= 1) and
x+1 < 6
x < 5
or x+1 < 0 (x < -1) and
-(x+1) < 6
-x < 7
x > -7
So, we have
-7 < x < -1 or -1<=x<5
that is,
-7 < x < 5
Cassie
original problem was <4 at the end not <3....thanks for your help...It was hard to explain.
Steve
Oops. My bad. Make the change and solve again. The key is to solve for the two cases where the expression in || is positive or negative.