Introduction to Inequalities and Interval Notation.
So this right here is a solution set, everything that I've shaded in orange. And if we wanted to write it in interval notation, it would be x is between negative 1 and 17, and it can also equal negative 1, so we put a bracket, and it can also equal 17. So this is the interval notation for this compound inequality right there. Let's do another.
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You can put this solution on YOUR website! The solution in interval notation is: () Also, the solution in set notation is: Here's the graph of the solution set Note: There is an open circle at which means that we're excluding that value from the solution set. Also, there is an open circle at which means that we're excluding that value from the solution set.
Then graph the solution on the number line, and write the solution in interval notation. Nineteen less than p is no less than 47.!(p minus 19 is greater than or equal to 47. Its solution is p is greater than or equal to 66. The solution on the number line has a left bracket at 66 with shading to the right. The solution in interval notation is 66 to infinity within a bracket and a parenthesis.
We will use the following example to think about the different ways to write a confidence interval. For practice, you should make sure you know how to do the calculations needed to get the interval. A college student wishes to estimate the percentage of students on his campus who can name the current president of the college. He chooses a random sample of 347 students and finds that 86 of them.
Hence, the interval notation of inequality is an open interval written inside parenthesis. It shows that -6 and 5 are not part of the solution. Here, -6 is the beginning of the interval and 5 is the end point. Example 3. Solve the inequality. Write the solution set in the interval notation and represent it on the number line. Solution.
Solving rational inequalities is very similar to solving polynomial inequalities.But because rational expressions have denominators (and therefore may have places where they're not defined), you have to be a little more careful in finding your solutions. To solve a rational inequality, you first find the zeroes (from the numerator) and the undefined points (from the denominator).