Table of Contents
What is a conditional statement equal to?
A conditional statement is logically equivalent to its contrapositive. Converse: Suppose a conditional statement of the form “If p then q” is given. The converse is “If q then p.” Symbolically, the converse of p q is q p.
How do you prove a conditional statement?
There is another method that’s used to prove a conditional statement true; it uses the contrapositive of the original statement. The contrapositive of the statement “If (H), then (C)” is the statement “If (the opposite C), then (the opposite of H).” We sometimes write “not H” for “the opposite of H.”
What are the types of conditional statements?
Conditional Statements : if, else, switch
- If statement.
- If-Else statement.
- Nested If-else statement.
- If-Else If ladder.
- Switch statement.
What is conditional statements in math?
Definition: A Conditional Statement is… symbolized by p q, it is an if-then statement in which p is a hypothesis and q is a conclusion. The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
How do you know if an equivalent statement?
Two statement forms are logically equivalent if, and only if, their resulting truth tables are identical for each variation of statement variables. p q and q p have the same truth values, so they are logically equivalent.
What does if A then B mean?
A statement of the form “If A, then B” asserts that if A is true, then B must be true also. If the statement “If A, then B” is true, you can regard it as a promise that whenever the A is true, then B is true also.
How many conditions are there in an IF THEN statement?
You can pass and do great at the same time. Use an if/else statement if the two conditions are mutually exclusive meaning if one condition is true the other condition must be false.
What comparisons are available for a conditional statement?
one of the comparison operators (==, != , >, <, >=, or <=) applied to variables (or expressions) of a primitive type; Example: int a, b, c; if (a > b + c) • a call to a predicate (i.e., a method that returns a value of type boolean); Example: String answer; if (answer.
What are the 3 types of conditional sentences?
Conditional
| Conditional sentence type | Usage | If clause verb tense |
|---|---|---|
| Zero | General truths | Simple present |
| Type 1 | A possible condition and its probable result | Simple present |
| Type 2 | A hypothetical condition and its probable result | Simple past |
| Type 3 | An unreal past condition and its probable result in the past | Past perfect |
When is a conditional equation true in math?
2. A conditional equation is true for only certain values of the literal numbers in it. Example 4 x + 3 = 9 is true only if the literal number x = 6. Example 5 3x – 4 = 11 is true only if x = 5. The literal numbers in an equation are sometimes referred to as variables.
Which is the converse of the conditional statement p → q?
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
What is the contrapositive of the conditional statement?
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function. x.If two variables are not directly proportional, then their graph is not a linear function.
Which is the inverse of the conditional statement?
Check all that apply. the original conditional statement and its contrapositive the converse and the inverse of the original conditional statement The inverse of a conditional statement is “If a number is negative, then it has a negative cube root.” What is the contrapositive of the original conditional statement?