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ASSESS REASONABLENESS Your friend says that the

the equation 5x - 2 = 5x- 4 has no solutica. Is your
inequality 5x -2> 5x - 4 has no solution because
friend correct? Explain.

1 Answer

4 votes

Final answer:

No, the equation 5x - 2 = 5x - 4 has no solution, but the inequality 5x - 2 > 5x - 4 has a solution.


Step-by-step explanation:

No, your friend is not correct. The equation 5x - 2 = 5x - 4 can be solved by using algebraic manipulation. By subtracting 5x from both sides of the equation, we get -2 = -4, which is not true. This means that the original equation has no solution. However, the inequality 5x - 2 > 5x - 4 will have a solution. When we subtract 5x from both sides and simplify, we get -2 > -4, which is true. So, the inequality has a solution while the equation does not have a solution.


Learn more about Reasonableness of equations and inequalities

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