91Ó°ÊÓ

The expression \(\left|x_{T}-x\right|\) is defined to be the absolute error in \(x\) where \(x_{T}\) is the true value of a quantity and \(x\) is the measured value or value as stored in a computer. If the true value of a quantity is 0.2 and the approximate value stored in a computer is \(\frac{51}{256},\) find the absolute error.

Each inequality below (Exercises \(105-108)\) is solved by dividing both sides by the coefficient of \(x .\) Determine whether the inequality symbol will be reversed during this solution process. $$ -3 x \leq 14 $$

Each inequality below (Exercises \(105-108)\) is solved by dividing both sides by the coefficient of \(x .\) Determine whether the inequality symbol will be reversed during this solution process. $$ 3 x>-14 $$

Each inequality below (Exercises \(105-108)\) is solved by dividing both sides by the coefficient of \(x .\) Determine whether the inequality symbol will be reversed during this solution process. $$ -x \geq-23 $$

Each inequality below (Exercises \(105-108)\) is solved by dividing both sides by the coefficient of \(x .\) Determine whether the inequality symbol will be reversed during this solution process. $$ -x \leq 9 $$

Solve: \(2 x-3=5\)

Solve: \(2 x-3>5\)

Solve: \(2 x-3<5\)

When graphing the solution set of an inequality, explain how you know whether to use a parenthesis or a bracket.

Explain what is wrong with the interval notation \((-6,-\infty)\)