91Ó°ÊÓ

Simplify the algebraic expressions in Problems \(15-34\) by removing parentheses and combining similar terms. $$-6\left(x^{2}-5\right)-\left(x^{2}-2\right)$$

Perform the following operations with real numbers. $$\left(-\frac{1}{3}\right)\left(\frac{2}{5}\right)$$

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. \(I\)_____ \(Q\)

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$17(97)+17(3)$$

Perform the following operations with real numbers. $$(-8)\left(\frac{1}{3}\right)$$

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. \(N\)_____ \(I\)

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

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$-86[49+(-48)]$$

Perform the following operations with real numbers. $$\frac{1}{2} \div\left(-\frac{1}{8}\right)$$

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. \(Q\)_____ \(H\)