Question

State the hypothesis and the conclusion of the statement. If a triangle has sides that are 8 inches and 9 inches long, then the length of the third side is greater than 1 inch and less than 17 inches.

Short answer

Hypothesis: 'A triangle has sides that are 8 inches and 9 inches long.' Conclusion: 'The length of the third side is greater than 1 inch and less than 17 inches.'

Step-by-step solution

Identify the Hypothesis

The hypothesis is the given or assumed part of the statement, which leads to a conclusion. Here, the hypothesis is 'a triangle has sides that are 8 inches and 9 inches long.'

Identify the Conclusion

The conclusion is the part of the statement that is concluded from the given hypothesis. In this problem, the conclusion from the hypothesis is 'the length of the third side is greater than 1 inch and less than 17 inches.'