Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve for x
Solve for μ
0<x<5
Evaluate
5μx2<25μx
Add or subtract both sides
5μx2−25μx<0
Evaluate
x2−5x<0
Add the same value to both sides
x2−5x+425<425
Evaluate
(x−25)2<425
Take the 2-th root on both sides of the inequality
(x−25)2<425
Calculate
x−25<25
Separate the inequality into 2 possible cases
{x−25<25x−25>−25
Calculate
More Steps
Evaluate
x−25<25
Move the constant to the right side
x<25+25
Add the numbers
More Steps
Evaluate
25+25
Write all numerators above the common denominator
25+5
Add the numbers
210
Reduce the numbers
15
Calculate
5
x<5
{x<5x−25>−25
Cancel equal terms on both sides of the expression
{x<5x>0
Solution
0<x<5
Show Solution
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