A triangle has side lengths represented by the expressions 2x + 1,4x-5, and x + 1. 1. Use the triangle inequality theorem to set up and solve three inequalities. 2. Find the possible range of values for x that satisfy the triangle inequality theorem.
A triangle has side lengths represented by the expressions 2x + 1,4x-5, and x + 1. 1. Use the triangle inequality theorem to set up and solve three inequalities. 2. Find the possible range of values for x that satisfy the triangle inequality theorem.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.4: Solving Compound Inqualities
Problem 36PPS
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![A triangle has side lengths represented by the expressions 2x + 1, 4x- 5, and x + 1.
1. Use the triangle inequality theorem to set up and solve three inequalities.
2. Find the possible range of values for x that satisfy the triangle inequality theorem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1a64ec6-1f12-49ec-8954-3b844ea721c2%2F717a07ec-9fec-4c14-8233-4492c7a28c66%2Frqfl6ha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A triangle has side lengths represented by the expressions 2x + 1, 4x- 5, and x + 1.
1. Use the triangle inequality theorem to set up and solve three inequalities.
2. Find the possible range of values for x that satisfy the triangle inequality theorem.
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