Graph the inequality. Express the solution in a) set notation and b) interval notation. n>-(11)/

step 1 We're first being asked to graph the inequality N is greater than negative 11 thirds on a number

Graph the inequality. Express the solution in a) set...

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Key Concepts

Set Notation

Set notation is a method of describing the collection of all elements that satisfy a given property, using braces and a condition, often in the form {x | condition}. It provides a concise way to express solution sets of inequalities.

Interval Notation

Interval notation is a system used to denote a range of numbers on the real number line. This notation uses parentheses to signify that endpoints are not included (as in the case of a strict inequality) and brackets to indicate that endpoints are included (as in non-strict inequalities).

Linear Inequalities

Linear inequalities involve an inequality sign (such as >, <, ?, or ?) in an algebraic expression and represent a range of values on the number line. They are solved by isolating the variable, similar to equations, while taking care to reverse the inequality sign when multiplying or dividing by a negative number.

Graphical Representation on a Number Line

Graphing an inequality on a number line involves marking the critical value and shading the region that satisfies the inequality. For strict inequalities (using > or <), an open circle is used to indicate that the boundary is not included, and for inclusive inequalities (? or ?), a closed circle is used.

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