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Complete the statement. The solution of 25x=300 is The solution of 25x>300 is all values ? ?

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Final answer:

The solution for the equation 25x=300 is x=12. For the inequality 25x>300, the solution includes all values greater than 12, represented as x>12.

Step-by-step explanation:

Understanding Inequalities

To complete the first statement, the solution of 25x=300 is x=12. This is found by dividing both sides of the equation by 25, resulting in x=300/25, which simplifies to x=12.

To address the second statement, the solution of 25x>300 is all values of x which are greater than 12. This inequality indicates that any number multiplied by 25 which yields a result larger than 300 will be an acceptable value for x. Therefore, x>12 encompasses all numbers that make the inequality true.

Remember, when we discuss inequalities, we often represent the solution on a number line, where x>12 would be shown as a ray starting just after 12 and extending towards positive infinity.

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