91Ó°ÊÓ

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$3(2 x-3)-7(3 x-1)$$

Use the following set designations. $$ \begin{aligned} &N=\\{x \mid x \text { is a natural number }\\} \\ &Q=\\{x \mid x \text { is a rational number }\\} \\ &W=\\{x \mid x \text { is a whole number }\\} \\ &H=\\{x \mid x \text { is an irrational number }\\} \\ &I=\\{x \mid x \text { is an integer }\\} \\ &R=\\{x \mid x \text { is a real number }\\} \end{aligned} $$ Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(W\)_____ \(I\)

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$(2)(17)(-5)-(4)(13)(-25)$$

Use the following set designations. $$ \begin{aligned} &N=\\{x \mid x \text { is a natural number }\\} \\ &Q=\\{x \mid x \text { is a rational number }\\} \\ &W=\\{x \mid x \text { is a whole number }\\} \\ &H=\\{x \mid x \text { is an irrational number }\\} \\ &I=\\{x \mid x \text { is an integer }\\} \\ &R=\\{x \mid x \text { is a real number }\\} \end{aligned} $$ Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(I\)_____ \(N\)

Simplify each of the numerical expressions. $$2^{3}-3^{3}$$

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$-2\left(n^{2}-4\right)-4\left(2 n^{2}+1\right)$$

Simplify each of the numerical expressions. $$3^{2}-2^{4}$$

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$-4\left(n^{2}+3\right)-\left(2 n^{2}-7\right)$$

Perform the following operations with real numbers. $$0 \div(-11)$$

Use the following set designations. $$ \begin{aligned} &N=\\{x \mid x \text { is a natural number }\\} \\ &Q=\\{x \mid x \text { is a rational number }\\} \\ &W=\\{x \mid x \text { is a whole number }\\} \\ &H=\\{x \mid x \text { is an irrational number }\\} \\ &I=\\{x \mid x \text { is an integer }\\} \\ &R=\\{x \mid x \text { is a real number }\\} \end{aligned} $$ Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(I\)_____ \(W\)