91Ó°ÊÓ

Concept Check Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. A. \((-2,6]\) B. \([-2,6)\) C. \((-\infty,-6]\) D. \([6, \infty)\) E. \((-\infty,-3) \cup(3, \infty)\) F. \((-\infty,-6)\) G. \((0,8)\) H. \((-\infty, \infty)\) I. \([-6, \infty)\) J. \(\quad(-\infty, 6]\) $$x \leq 6$$

Determine whether each statement is true or false. If it is false, tell why. No real number is a pure imaginary number.

Use the following facts. If \(x\) represents an integer, then \(x+1\) represents the next consecutive integer. If \(x\) represents an even integer, then \(x+2\) represents the next consecutive even integer. If \(x\) represents an odd integer, then \(x+2\) represents the next consecutive odd integer. Find two consecutive integers whose product is 56

Match the equation in Column I with its solution \((s)\) in Column II. A. \(\pm 5 i\) B. \(\pm 2 \sqrt{5}\) C. \(\pm i \sqrt{5}\) D. \(5\) E. \(\pm \sqrt{5} \quad\) F. \(-5\) G. \(\pm 5\) H. \(\pm 2 i \sqrt{5}\) $$x^{2}=20$$

Which one is not a linear equation? A. \(5 x+7(x-1)=-3 x\) B. \(9 x^{2}-4 x+3=0\) C. \(7 x+8 x=13 x\) D. \(0.04 x-0.08 x=0.40\)

Unknown Numbers Consider the following problem. The difference between seven times a number and 9 is equal to five times the sum of the number and 2. Find the number. If \(x\) represents the number, which equation is correct for solving this problem? A. \(7 x-9=5(x+2)\) B. \(9-7 x=5(x+2)\) C. \(7 x-9=5 x+2\) D. \(9-7 x=5 x+2\)

Solve each equation. $$|4 x+2|=5$$

Solve each problem. Perimeter of a Storage Shed Michael Gomski must build a rectangular storage shed. He wants the length to be 6 ft greater than the width, and the perimeter will be \(44 \mathrm{ft}\). Find the length and the width of the shed.

Explain how to determine whether to use a parenthesis or a square bracket when graphing the solution set of a linear inequality.

The three-part inequality \(a