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Chapter 2: Problem 13

Graph each inequality, and write it using interval notation. \(t>4\)

Short Answer

Expert verified
(4, 鈭�)

Step by step solution

01

- Understand the Inequality

The inequality is given as \(t > 4\). This means that \(t\) can be any number greater than 4, but not 4 itself.
02

- Graph the Inequality

To graph \(t > 4\), draw a number line. Place an open circle on 4 to show that 4 is not included. Shade the region to the right of 4 to indicate that all numbers greater than 4 are included.
03

- Write in Interval Notation

In interval notation, \(t > 4\) is written as \((4, \infty)\). The open parenthesis next to 4 indicates that 4 is not included, and \(\infty\) always has a parenthesis because infinity is never included.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Inequalities
Inequalities are essential in understanding relationships between numbers. They express that one value is smaller, larger, or potentially equal to another value. Here are the common symbols used in inequalities:
  • < (less than)
  • > (greater than)
  • (\right) (4, )] In our exercise, we used an open parenthesis (4) to exclude 4 and (\(\right\)) ( (to indicate +'s non-inclusive nature). This notation help us grasp 'o precisely.

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