Solve |x| = 5
{5}
{-5, 5}
{-5}
The solution to the equation |x| = 5 is { -5, 5 }.
To solve the equation |x| = 5, we need to consider two cases:
1. When x is positive
2. When x is negative
Case 1: When x is positive
In this case, the equation |x| = 5 simplifies to x = 5. Therefore, the solution for this case is x = 5.
Case 2: When x is negative
In this case, the equation |x| = 5 simplifies to -x = 5. To solve for x, we need to isolate x by multiplying both sides of the equation by -1, which gives us x = -5. Therefore, the solution for this case is x = -5.
Combining the solutions from both cases, the overall solution to the equation |x| = 5 is x = -5 and x = 5. Therefore, the solution set is {-5, 5}.
To solve the equation |x| = 5, we can split it into two cases:
Case 1: x is positive
In this case, the equation |x| = 5 becomes x = 5.
Case 2: x is negative
In this case, the equation |x| = 5 becomes -x = 5, which can be rearranged to x = -5.
Therefore, the solutions to the equation |x| = 5 are x = 5 and x = -5.