From the answer to: I ask U Y U R N S.
There is no numerical value for 'x' that can make this a true statement.
If an expression is true "for no value" of x, it means that there is no value you can substitute for x to make it true. For example, x=x+1 is true for no value of x, because x is always strictly less than x+1.
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Identities are "equations" that are always true. For example, the equation sin(x) = cos(x) is true for x = pi/4 + kpi radians where k is any integer [ = 45 + 180k degrees], but for any other value of x the equation is not true. By contrast, the equation sin2(x) + cos2(x) = 1 is true whatever the value of x. This is an identity.
I am not entirely sure what situation you are talking about. If there is no "x" in an equation, there is no point in finding it. On the other hand, if "x" disappears when solving an equation, that's usually an indication that the equation is always true, or always false, independently of the value of "x". Example: x = x + 1 Subtracting "x" from both sides, you get: 0 = 1 Since this is false, the equation is false (for ANY value of "x"). As another example: 3x = 3x Subtracing 3x on each side, you get: 0 = 0 Since this is true, and "x" doesn't appear in it, the original equation is ALWAYS true, i.e., no matter what value "x" has.
There is no numerical value for 'x' that can make this a true statement.
If an expression is true "for no value" of x, it means that there is no value you can substitute for x to make it true. For example, x=x+1 is true for no value of x, because x is always strictly less than x+1.
By moving all other values to one side and setting it equal to X. For instance, x-12=24. To find the "x" value, add 12 to both sides of the equation which will result in x=36. We know that x=36 is true because when we "plug-in" or "substitute" every "x" in the original equation with the value "36", we should get matatically true statements. For instance 36-12=24 is a true statement.
True.
TRUE
how about X = X
That means that they are always true. For example: x + x = 2x is true for ANY value of "x", so it is an identity. In contrast, x + 2 = 5 is only true for one specific value of "x", so it is not an identity.
x - 1 = x + 1
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It's the value that when substituted in for the variable, makes the equation true. Ex: x + 1 = 3 The value 2, when substituted for the variable x, makes the equation true.
so you are asking: When does 1/x = x% become true? It doesn't make sense. 1/x = x is true when x = 1 But it is never true with the percentage sign at the end.