Contrapositive
negation.
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
The thesis statement should be written in the introductory paragraph of an essay. It typically comes at the end of the introduction to provide a clear indication of the main argument or purpose of the essay.
The punctuated equilibrium theory suggests that species tend to evolve in rapid bursts of change followed by long periods of stability. This theory proposes that evolution does not always occur gradually and uniformly, but can involve abrupt shifts in traits due to significant environmental changes or genetic factors.
It differs to some extent depending on how the grading system works in the schools in your area, but generally it will be anywhere from grades 1-3. C works on solidifying addition/subtraction, and introduces multiplication. Source: I work there.
A person who is always learning new things is often referred to as a lifelong learner.
a conditional and its contrapositive
This is not always true.
No.
always true
always true
false
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)
A bi-conditional statement can be true or false. If it is true, then both forward and backward statements are true. See Bi-conditional StatementIn English grammarThe statement, Love you! could be true too if said/written backward as You love!
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
No. An if statement does not require an elseclause and the expression(s) do not return anything to the caller, whereas the conditional operator always executes one of two expressions and always returns the value of the executed expression back to the caller. The executed expression may be yet another conditional operator, thus allowing simulation of nested ifs and if...else if... else statements.Consider the following example:int x = rand();if( x > 100 ) x = 100;We can achieve the same result with a conditional operator:int y = rand();y = y>100 ? 100 : y;However, if we were to expand this statement to an if statement we would not get the original if statement shown above:int z = rand();if( z > 100 ) z = 100;else z = z;The else clause is clearly unnecessary in this case, so the original if statement would be the statement of choice here.As a general rule, if you can make use of the return value in a conditional operator, and must return one of at least two values, then use the conditional operator. Otherwise use an if statement.
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.