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Chapter 6: Problem 5

Graph each set of real numbers on a number line. \(\\{x \mid x \geq-3\\}\)

Short Answer

Expert verified
The graph of the set \{x | x 鈮� -3\} on a number line consists of a solid dot at -3 and extends indefinitely to the right.

Step by step solution

01

Draw a Number Line

The first step is to draw a horizontal number line. Mark several points on the number line to represent numbers. It is advisable to mark points far enough apart so that you can establish the correct positioning of the value -3.
02

Position -3 on the Number Line

Locate and mark -3 on your number line. Given that -3 is included in the range, place a solid circle or draw a thick dot at -3 to symbolize the inclusion.
03

Graph the Range of x Values

The inequality is \(x \geq -3\), meaning that the set includes -3 and all numbers greater than -3. To depict this, draw a line or an arrow to the right starting from -3. This denotes that all numbers greater than -3 are included in the set.

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Most popular questions from this chapter

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-8 x+15\)

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Solve the equations using the quadratic formula. \(6 x^{2}-5 x-6=0\)

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