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Problem 3

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$100,100$$

Problem 3

Suppose someone plans to write an indirect proof of each conditional. Write a correct first sentence of the indirect proof. If \(a \neq b,\) then \(a-b \neq 0\)

Problem 4

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$7 n, 10 n$$

Problem 4

Write (a) the contrapositive and (b) the inverse of each statement. If Abby is not here, then she is not well.

Problem 4

Suppose someone plans to write an indirect proof of each conditional. Write a correct first sentence of the indirect proof. If \(x^{2} \neq y^{2},\) then \(x \neq y\)

Problem 5

Some information about the diagram is given. Tell whether the other statements can be deduced from what is given. (Write yes or no.) When some people are given that \(j>k\) and \(l>m\), they carelessly conclude that \(j+k>I+m .\) Find values for \(j, k, l,\) and \(m\) that show this conclusion is false. CAN'T COPY THE GRAPH

Problem 5

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$a, b(\text { where } a>b)$$

Problem 5

Suppose someone plans to write an indirect proof of each conditional. Write a correct first sentence of the indirect proof. If \(\overline{E F} \neq \overline{G H},\) then \(\overleftarrow{E F}\) and \(\overleftarrow{G H}\) aren't parallel.

Problem 6

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$k, k+5$$

Problem 6

Write an indirect proof in paragraph form. Given: People wearing coats are shivering as they come to the door. Prove: It's cold outside.

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