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Exercises Equations and inequalities

Example 1 from Algebra and Trigonometry, 2.7 Linear Inequalities and Absolute Value Inequalities

Using Interval Notation to Express All Real Numbers Greater Than or Equal to a

Use interval notation to indicate all real numbers greater than or equal to $−2.$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Use a bracket on the left of $−2$ and parentheses after infinity: $[−2, \infty) .$ The bracket indicates that $−2$ is included in the set with all real numbers greater than $−2$ to infinity.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Use interval notation to indicate all real numbers between and including $−3$ and $5.$

How did it go?

PreviousSolving a Rational Equation Leading to a Quadratic Next Using Interval Notation to Express All Real Numbers Less Than or Equal to a or Greater Than or Equal to b

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 2.7, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.