Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve the inequality by separating into cases
Solve for x
x∈R
Alternative Form
All real solution
Evaluate
−3<x5×x−2
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
−3<x6−2
Move the expression to the left side
−3−(x6−2)<0
Subtract the terms
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Evaluate
−3−(x6−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3−x6+2
Add the numbers
−1−x6
−1−x6<0
Rewrite the expression
−1−x6=0
Move the constant to the right-hand side and change its sign
−x6=0+1
Removing 0 doesn't change the value,so remove it from the expression
−x6=1
Since the left-hand side is always negative or 0,and the right-hand side is always positive,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
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Evaluate
−3<06−2
Simplify
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Evaluate
06−2
Calculate
0−2
Removing 0 doesn't change the value,so remove it from the expression
−2
−3<−2
Check the inequality
true
x∈R
Alternative Form
All real solution
Show Solution
