Solve for p if 2|p| = 4
{-2, 2}
{-4, 4}
{-8, 8}
To solve the equation 2|p| = 4, we need to divide both sides by 2:
|p| = 2
Now, since the absolute value of p can be either positive or negative, we have two cases to consider.
Case 1: p is positive
In this case, |p| = p, so we have:
p = 2
Case 2: p is negative
In this case, |p| = -p, so we have:
-p = 2
To solve for p, we need to multiply both sides by -1:
p = -2
Therefore, the solutions to the equation 2|p| = 4 are p = 2 and p = -2.
To solve for p in the equation 2|p| = 4, we need to isolate the absolute value of p.
Step 1: Divide both sides of the equation by 2.
2|p| / 2 = 4 / 2
This simplifies to:
|p| = 2
Step 2: Since the absolute value of p is equal to 2, p can be either positive or negative 2. We need to consider both cases.
For p = 2, substituting it back into the original equation:
2|2| = 4
2(2) = 4
4 = 4
The equation is true for p = 2.
For p = -2, substituting it back into the original equation:
2|-2| = 4
2(2) = 4
4 = 4
The equation is also true for p = -2.
Therefore, the solutions for p are p = 2 and p = -2.
To solve for p in the equation 2|p| = 4, we need to isolate the variable p.
Step 1: Divide both sides of the equation by 2:
(2|p|)/2 = 4/2
|p| = 2
Now we have two cases to consider: |p| = 2 and -|p| = 2.
Case 1: |p| = 2
When the absolute value of p is equal to 2, p can take two possible values: p = 2 or p = -2.
Case 2: -|p| = 2
When the negative absolute value of p is equal to 2, p can also take two possible values: p = -2 or p = 2.
Therefore, the possible solutions for p are {-2, 2}.
Note: It's important to remember that the absolute value of a number is always non-negative, so both positive and negative values need to be considered when solving absolute value equations.