Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−11,x2=11
Evaluate
∣∣x∣−5∣=6
Separate the equation into 2 possible cases
∣x∣−5=6∣x∣−5=−6
Solve the equation for x
More Steps
Evaluate
∣x∣−5=6
Move the constant to the right-hand side and change its sign
∣x∣=6+5
Add the numbers
∣x∣=11
Separate the equation into 2 possible cases
x=11x=−11
x=11x=−11∣x∣−5=−6
Solve the equation for x
More Steps
Evaluate
∣x∣−5=−6
Move the constant to the right-hand side and change its sign
∣x∣=−6+5
Add the numbers
∣x∣=−1
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=11x=−11x∈/R
Find the union
x=11x=−11
Solution
x1=−11,x2=11
Show Solution
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