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Magazine Problem 19
Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(R\) _________ \(N\)
Problem 19
Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$ (25)(-13)(4) $$
Problem 19
Perform the following operations with real numbers. $$ \frac{-112}{16} $$
Problem 19
Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ 3\left(n^{2}+1\right)-8\left(n^{2}-1\right) $$
Problem 20
Perform the following operations with real numbers. $$ \frac{-75}{5} $$
Problem 20
Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$ (14)(25)(-13)(4) $$
Problem 20
Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ 4\left(n^{2}+3\right)+\left(n^{2}-7\right) $$
Problem 20
Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(N\) _________ \(R\)
Problem 21
Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(I\)__________\(Q\)
Problem 21
Perform the following operations with real numbers. $$ -2 \frac{3}{8}+5 \frac{7}{8} $$
