Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for x
x∈R
Alternative Form
All real solution
Evaluate
3x−1≤11x2
Move the expression to the left side
3x−1−11x2≤0
Rewrite the expression
3x−1−11x2=0
Add or subtract both sides
3x−11x2=1
Divide both sides
−113x−11x2=−111
Evaluate
−113x+x2=−111
Add the same value to both sides
−113x+x2+4849=−111+4849
Simplify the expression
(x−223)2=−48435
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
There are no key numbers,so choose any value to test,for example x=0
x=0
Solution
More Steps
Evaluate
3×0−1≤11×02
Any expression multiplied by 0 equals 0
0−1≤11×02
Removing 0 doesn't change the value,so remove it from the expression
−1≤11×02
Simplify
More Steps
Evaluate
11×02
Calculate
11×0
Any expression multiplied by 0 equals 0
0
−1≤0
Check the inequality
true
x∈R
Alternative Form
All real solution
Show Solution
