Asked by Kelley
Hat are the possible solutions for the following problem?
|x + 3| < 5
|x + 3| < 5
Answers
Answered by
Steve
You want numbers within 5 of -3. So,
-8 < x < 2
-8 < x < 2
Answered by
Kelley
Can you show me this. I keep getting x<2 and x<-8??
Answered by
Steve
either x+3 <0 or x+3 >= 0
case 1: x+3 < 0 (x < -3)
-(x+3) < 5
-x-3 < 5
-x < 8
x > -8
or, -8 < x
case 2: x+3 >= 0 (x >= -3)
x+3 < 5
x < 2
Looks like you may have forgotten to reverse the direction of the inequality when multiplying by a negative number.
Think of the shape of the graph. It's a V shape, and you want everything below the line y=5.
case 1: x+3 < 0 (x < -3)
-(x+3) < 5
-x-3 < 5
-x < 8
x > -8
or, -8 < x
case 2: x+3 >= 0 (x >= -3)
x+3 < 5
x < 2
Looks like you may have forgotten to reverse the direction of the inequality when multiplying by a negative number.
Think of the shape of the graph. It's a V shape, and you want everything below the line y=5.
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