a) State the definition of Solution for equations AND for inequalities. b) Consider the equation 5-3(2x-7)=12-5(x-2)....

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a) State the definition of "Solution for equations AND for inequalities. b) Consider the equation 5-3(2x-7)=12-5(x-2). Is x=2 a solution to this equation? Is x = 4 a solution to this equation? Explain your reasoning in each case. c) Consider the inequality 5-3(2x-7)> 12-5(x-2). Is x=2 a solution to this inequality? Is x4 a solution to this inequality? Explain your reasoning in each case. Problem 2 The written expression, "The distance between x and a" can be translated as Ix - al. Consider the statement, "The distance between x and 5 is 3." a) Think about a number line and find the TWO numbers that satisfy the statement. b) Translate the statement into an equation and solve the equation. Make sure to show your work. a) State the definition of "Solution for equations AND for inequalities. b) Consider the equation 5-3(2x-7)=12-5(x-2). Is x=2 a solution to this equation? Is x = 4 a solution to this equation? Explain your reasoning in each case. c) Consider the inequality 5-3(2x-7)> 12-5(x-2). Is x=2 a solution to this inequality? Is x4 a solution to this inequality? Explain your reasoning in each case. Problem 2 The written expression, "The distance between x and a" can be translated as Ix - al. Consider the statement, "The distance between x and 5 is 3." a) Think about a number line and find the TWO numbers that satisfy the statement. b) Translate the statement into an equation and solve the equation. Make sure to show your work.

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Problem 1 a For equations a solution is a value of the variables that makes the equation true For example in the equation 2x 3 9 the solution is x 3 b... View the full answer