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How do you know if a solution is always true or sometimes true?
Wiki User
∙ 10y ago
If the number of values you get (which always satisfy the equation) is a finite number, then the equation is sometimes true (meaning it is true only for those values you got).
ex.
x + 3 = 5 is true only when x is 2.
x2 - 5 = 4 is true only when x is -3 or 3.
√x = 7 is true only when x is 49.
(check:)
2(3x - 1) = 6x - 2 is always true, meaning for any value that x can take on, both sides becomes equal when x is replaced by it.
2(3x - 1) = 6x - 2
6x - 2 = 6x - 2 (both sides seems to be equal) , or subtract 6x and add 2 to both sides
0 = 0 a true statement.
Since 0 = 0 is an equivalent statement to the original equation and it is a true one, then the original equation must be also a true statement. Thus, there are infinitely many solutions for the given equation. Therefore, the given equation is always true.
Sometimes, before you start to solve an equation, you need to exclude some value(s) for the variable of being a solution, because they can make the equation undefined. For example, if the variable happens to be in the denominator, you have to exclude all the values of the variable that make the denominator equal to zero.
Wiki User
∙ 10y ago
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Are two composite numbers always sometimes or never true?
They are always true - if your calculations are sound.
Is it sometimes true when the product of Two rational numbers are rational?
No, it is always true.
Are all trapezoids rectangles and why or why not?
yes because it is not always true and so it could and may not depending how their draw it or write it and it is sometimes true and sometimes not true.
If an equation is an identity what is true about the solution?
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
How do you know if a value a is a solution to an equation?
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Is the greatest common factor of two different prime numbers is 1 always sometimes or never true?
Sometimes 2.
Is it true solution always transparent?
It is not true.
Is a true solution always neutral?
not always
What are the values of a variable that make an equation true?
It is the solution; sometimes also called the root.
Parallelograms are squares is that sometimes always or never true?
Parallelograms are squares is sometimes true. Squares are parallelograms is always true. Rhomboids are parallelograms is also always true. So not all parallelograms are squares but some are.
Are two composite numbers always sometimes or never true?
They are always true - if your calculations are sound.
Is the LCM of two numbers always sometimes or never true the product of the two numbers?
Sometimes true.
What is always true of the Strong acid?
Completely dissociate in solution.
When a point is reflected over a horizontal line the x coordinate stays the same is that always true sometimes true or never true?
always true
Will a colloid become a true solution?
Yes, but not always. For instance if we make ink highly dilute then we might get true solution but the same is not applicable with starch solution or paints etc
Is it sometimes true when the sum of two rational numbers are rational?
No, it is always true
Is it sometimes true when the product of Twp rational numbers are rational?
No, it is always true
