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Chapter 4: Problem 23

Assume the variables \(a=2, b=4,\) and \(c=6 .\) Circle the \(T\) or \(F\) for each of the following conditions to indicate whether its value is true or false.

Short Answer

Expert verified
Question: Determine if each of the following conditions is True (T) or False (F) given the values of a, b, and c as 2, 4, and 6 respectively. 1. \(a < b\) 2. \(b > c\) 3. \(a + b = c\) 4. \(b - a = c\) 5. \(ac = 2b\) Answer: 1. True (T) 2. False (F) 3. True (T) 4. False (F) 5. False (F)

Step by step solution

01

Condition 1: \(a < b\)

We are given \(a=2\) and \(b=4\). Comparing the two, we observe that \(2 < 4\). Therefore, this condition is True (T).
02

Condition 2: \(b > c\)

We are given \(b=4\) and \(c=6\). Comparing the two, we observe that \(4\) is not greater than \(6\). Therefore, this condition is False (F).
03

Condition 3: \(a + b = c\)

We are given \(a=2, b=4,\) and \(c=6\). Checking if \(a + b = c\), we calculate \(2 + 4 = 6\). Since both sides are equal, this condition is True (T).
04

Condition 4: \(b - a = c\)

We are given \(a=2, b=4,\) and \(c=6\). Checking if \(b - a = c\), we calculate \(4 - 2 = 2\). Since these values are not equal, this condition is False (F).
05

Condition 5: \(ac = 2b\)

We are given \(a=2, b=4,\) and \(c=6\). Checking if \(ac = 2b\), we calculate \(2 \times 6 = 12\) and \(2 \times 4 = 8\). Since these values are not equal, this condition is False (F). To summarize the results: 1. \(a < b\) is True (T) 2. \(b > c\) is False (F) 3. \(a + b = c\) is True (T) 4. \(b - a = c\) is False (F) 5. \(ac = 2b\) is False (F)

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Most popular questions from this chapter

What is a single alternative decision structure?

What is a decision structure?

The following truth table shows various combinations of the values true and false connected by a logical operator. Complete the table by circling T or \(\mathrm{F}\) to indicate whether the result of such a combination is true or false. $$\begin{array}{lcc} \text { Logical Expression } & \text { Result (circle T or F) } \\ \text { True AND False } & \mathrm{T} & \mathrm{F} \\ \text { True AND True } & \mathrm{T} & \mathrm{F} \\ \text { False AND True } & \mathrm{T} & \mathrm{F} \\ \text { False AND False } & \mathrm{T} & \mathrm{F} \\ \text { True OR False } & \mathrm{T} & \mathrm{F} \\ \text { True or True } & \mathrm{T} & \mathrm{F} \\ \text { False or True } & \mathrm{T} & \mathrm{F} \\ \text { False or False } & \mathrm{T} & \mathrm{F} \\ \text { Not True } & \mathrm{T} & \mathrm{F} \\ \text { NOT False } & \mathrm{T} & \mathrm{F} \end{array}$$

When you write an If-Then-Else statement, under what circumstances do the statements that appear between the Else clause and the End If clause execute?

What does the case structure test, in order to determine which set of statements to execute?
See all solutions

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