What value could you write in after 3x that would make the equation true for: no values of x ? all values of x ? just one value of x ?

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What value could you write in after  3x that would make the equation true for:  no values of  x ? all values of  x ? just one value of  x ?

Bytelearn · Accepted Answer

Choose Expression Greater Than 3x: To determine what value could be written after 3x to make the equation true for no values of x, we need to think of an expression that would never equal 3x regardless of the value of x. A common example of such an expression is one that is always greater or always less than any value 3x could take. For instance, 3x + a, where a is a positive number, will never be equal to 3x because adding a positive number to 3x will always result in a value greater than 3x.Use 3x for All Values: For the equation to be true for all values of x, the expression after 3x must be something that is always equivalent to 3x. The simplest expression that satisfies this condition is 3x itself. So, if we write 3x after 3x, the equation 3x = 3x will be true for all values of x.Add Constant for Single Solution: To make the equation true for just one value of x, we need to add a constant or another term that would make the equation solvable for a single specific value of x. For example, if we write 3x + c, where c is a constant, the equation 3x = 3x + c will only be true when x satisfies the condition that 3x = -c. This will give us a single solution for x.

What value could you write in after $3 x$ that would make the equation true for: $\newline$ $1$ . no values of $x$ ? $\newline$ $2$ . all values of $x$ ? $\newline$ $3$ . just one value of $x$ ?

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What value could you write in after 3x 3 x 3x that would make the equation true for:\newline111. no values of x x x ?\newline222. all values of x x x ?\newline333. just one value of x x x ?

What value could you write in after $3 x$ that would make the equation true for: $\newline$ $1$ . no values of $x$ ? $\newline$ $2$ . all values of $x$ ? $\newline$ $3$ . just one value of $x$ ?