Question

which inequality can be used to explain why these three segments cannot be used to construct a triangle? ac + ab > cb ac + cb < ab ac + cb > ab ac + ab < cb

Explanation:

Step1: Triangle inequality theorem

For three segments \(a\), \(b\), \(c\) to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. That is \(a + b>c\), \(a + c>b\) and \(b + c>a\). If \(a + b

Step2: Analyze the options

• Option 1: \(AC + AB>CB\) satisfies the triangle inequality theorem.
• Option 2: \(AC + CB
• Option 3: \(AC + CB>AB\) satisfies the triangle inequality theorem.
• Option 4: \(AC + AB

Answer:

AC + CB < AB