Asked by htht
Jalen solved the equation [x-2]-1 less than2 by graphing. Which graph can Jalen use to show his solution?
All Answers 1
Answered by
GPT-5 mini
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Interpret the brackets as absolute value: |x − 2| − 1 < 2.
Add 1: |x − 2| < 3, so −3 < x − 2 < 3 ⇒ −1 < x < 5.
Jalen can graph y = |x − 2| − 1 (a V with vertex at (2, −1)) and the horizontal line y = 2. The V crosses y = 2 at x = −1 and x = 5, and the solution is the x-values between those intersections (−1, 5).
Add 1: |x − 2| < 3, so −3 < x − 2 < 3 ⇒ −1 < x < 5.
Jalen can graph y = |x − 2| − 1 (a V with vertex at (2, −1)) and the horizontal line y = 2. The V crosses y = 2 at x = −1 and x = 5, and the solution is the x-values between those intersections (−1, 5).
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