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Problem 8

Each of the inequalities can be solved by performing a single operation on both sides. State the operation, indicating whether or not the inequality changes direction. Solve the inequality. $$ -5 t<17.5 $$

Problem 9

Each of the inequalities can be solved by performing a single operation on both sides. State the operation, indicating whether or not the inequality changes direction. Solve the inequality. $$ -4.1+c \leq 2.3 $$

Problem 9

Solve the equations. $$ -4(2 m-5)=5 $$

Problem 9

Classify each statement as true or false. (a) \(|-25|<0\) (b) \(-|-11|=11\) (c) \(|5-7|=|5|-|7|\) (d) \(|12-11|=|11-12|\) (e) \(\quad\) If \(x

Problem 10

Write an absolute value equation or inequality to describe each of the following situations. (a) The distance between \(x\) and zero is exactly 7 . (b) The distance between \(x\) and 2 is exactly 6 . (c) The distance between \(t\) and -2 is exactly 1 . (d) The distance between \(x\) and zero is less than 4 . (e) The distance between \(z\) and zero is greater than or equal to \(9 .\) (f) The distance between \(w\) and -5 is greater than 7 .

Problem 10

Solve the equations. $$ 5=\frac{1}{3}(t-6) $$

Problem 10

Each of the inequalities can be solved by performing a single operation on both sides. State the operation, indicating whether or not the inequality changes direction. Solve the inequality. $$ -15.03>s+11.4 $$

Problem 11

Solve the equations. $$ \frac{2}{3}(3 n-12)=\frac{3}{4}(4 n-3) $$

Problem 11

Solve the absolute value equation by writing it as two separate equations. $$ |x-1|=6 $$

Problem 11

Each of the inequalities can be solved by performing a single operation on both sides. State the operation, indicating whether or not the inequality changes direction. Solve the inequality. $$ \frac{-3 P}{7}<\frac{6}{14} $$

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