Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for x
x>32
Alternative Form
x∈(32,+∞)
Evaluate
2<x3
Move the expression to the left side
2−x3<0
Rewrite the expression
2−x3=0
Move the constant to the right-hand side and change its sign
−x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x3=−2
Change the signs on both sides of the equation
x3=2
Take the 3-th root on both sides of the equation
3x3=32
Calculate
x=32
Determine the test intervals using the critical values
x<32x>32
Choose a value form each interval
x1=0x2=2
To determine if x<32 is the solution to the inequality,test if the chosen value x=0 satisfies the initial inequality
More Steps
Evaluate
2<03
Calculate
2<0
Check the inequality
false
x<32 is not a solutionx2=2
To determine if x>32 is the solution to the inequality,test if the chosen value x=2 satisfies the initial inequality
More Steps
Evaluate
2<23
Calculate
2<8
Check the inequality
true
x<32 is not a solutionx>32 is the solution
Solution
x>32
Alternative Form
x∈(32,+∞)
Show Solution
