graph the solutions of the inequality on a number line. describe the solution to the inequality.p>4

Mathematics · Middle School · Thu Feb 04 2021

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To graph the solutions of the inequality p > 4 on a number line, you would follow these steps:

1. Draw a horizontal line which will represent your number line. 2. Mark several points on the line with numbers, ensuring that the number 4 is included among them. You could mark it in intervals of 1 for clarity, though any interval would technically work. 3. Locate the number 4 on your number line and place an open circle above it. An open circle is used because the inequality is strict (greater than, not greater than or equal to); this means the number 4 itself is not included in the solution set. 4. Since you're looking for all numbers greater than 4, shade or draw an arrow to the right of the open circle, extending towards the greater numbers to illustrate that all numbers beyond 4 are part of the solution.

The solution to the inequality p > 4 consists of all the real numbers that are greater than 4. It does not include the number 4 itself. In interval notation, the solution would be represented as (4, ∞), indicating that the solution starts just after 4 and goes up to infinity.