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Problem 9

Determine whether each ordered pair is a solution of the given inequality. $$ (8,14) ; 2 y-3 x \geq 9 $$

Problem 9

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|=5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 10

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|<5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 10

Determine whether each ordered pair is a solution of the given inequality. $$ (5,8) ; 3 y-5 x \leq 0 $$

Problem 11

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|>5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 12

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|<-5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 13

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|=-5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 14

Match each equation or inequality with an equivalent statement from the column on the right. Letters may be used more than once or not at all. $$ |x-3|>-5 $$ a) The solution set is \(\varnothing .\) b) The solution set is \(\mathbb{R}\). c) \(x-3>5\) d) \(x-3<-5\) or \(x-3>5\) e) \(x-3=5\) f) \(x-3<5\) g) \(x-3=-5\) or \(x-3=5\) h) \(-5

Problem 14

Solve. $$ (x+5)(x+2)>0 $$

Problem 15

Solve. $$ (x+7)(x-2) \geq 0 $$

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