What number is not part of the solution set for z5≠7?(1 point)
The number 5 is not part of the solution set for z5≠7.
Oh, that poor number... It's 7. It heard about the equation but wasn't invited to join the solution set. It's probably feeling quite left out. Don't worry, number 7, there are plenty of other equations for you to be a part of. Keep your chin up!
To solve the equation z5 ≠ 7, we need to find the value of z that makes the equation true.
Step 1: Subtract 5 from both sides of the equation: z5 - 5 ≠ 7 - 5
This simplifies to z ≠ 2.
So, any number other than 2 is not part of the solution set for z5 ≠ 7.
To find the number that is not part of the solution set for z^5 ≠ 7, we first need to understand the equation.
The equation z^5 ≠ 7 means that z raised to the power of 5 is not equal to 7.
To solve this equation, we need to find the value of z that, when raised to the power of 5, does not equal 7.
We can start by assuming that z^5 = 7, and then solving for z.
Taking the fifth root of both sides of the equation, we will get:
∛(z^5) = ∛7
Now, simplify the equation:
z = ∛7
So, the solution to the equation z^5 ≠ 7 is any value of z that is not equal to the cube root of 7.
Thus, every number other than ∛7 (the cube root of 7) is not part of the solution set for z^5 ≠ 7.