91Ó°ÊÓ

Let \(A=\\{1,2,3,4,5,6\\}, B=\\{1,3,5\\}, C=\\{1,6\\},\) and \(D=\\{4\\} .\) Find each set. \(B \cap A\)

Let \(A=\\{1,2,3,4,5,6\\}, B=\\{1,3,5\\}, C=\\{1,6\\},\) and \(D=\\{4\\} .\) Find each set. \(C \cap A\)

A high level of triglycerides in the blood also increases a person's risk of heart disease. The table shows how triglyceride levels affect risk. If \(x\) represents the triglycerides number, write a linear inequality or three-part inequality for each category. Use \(x\) as the variable. (a) Normal (b) Mildly high (c) High (d) Very high $$ \begin{array}{|l|l|} \hline \text { Triglycerides } & \text { Risk Category } \\ \text { Less than } 100 & \text { Normal } \\ 100-199 & \text { Mildly high } \\ 200-499 & \text { High } \\ 500 \text { or higher } & \text { Very high } \\ \hline \end{array} $$

Let \(A=\\{1,2,3,4,5,6\\}, B=\\{1,3,5\\}, C=\\{1,6\\},\) and \(D=\\{4\\} .\) Find each set. \(B \cap \varnothing\)

A student solved the following inequality incorrectly as shown $$ \begin{aligned} 4 x & \geq-64 \\ \frac{4 x}{4} & \leq \frac{-64}{4} \\ x & \leq-16 \end{aligned} $$ Solution set: $$ (-\infty,-16] $$

Let \(A=\\{1,2,3,4,5,6\\}, B=\\{1,3,5\\}, C=\\{1,6\\},\) and \(D=\\{4\\} .\) Find each set. \(A \cap \varnothing\)

A student solved the following inequality incorrectly as shown. $$ \begin{array}{c} -2 x<-18 \\ \frac{-2 x}{-2}<\frac{-18}{-2} \\ x<9 \end{array} $$ Solution set: $$ (-\infty, 9) $$

Let \(A=\\{1,2,3,4,5,6\\}, B=\\{1,3,5\\}, C=\\{1,6\\},\) and \(D=\\{4\\} .\) Find each set. \(A \cup B\)

Solve each inequality. Graph the solution set, and write it using interval notation. $$ x-4 \geq 12 $$

Graph the solution set, and write it using interval notation. $$ x-3 \geq 7 $$