Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for x
x>0
Alternative Form
x∈(0,+∞)
Evaluate
7x5>0
Rewrite the expression
7x5=0
Multiply both sides
7x5×71=0×71
Calculate
x5=0
The only way a power can be 0 is when the base equals 0
x=0
Determine the test intervals using the critical values
x<0x>0
Choose a value form each interval
x1=−1x2=1
To determine if x<0 is the solution to the inequality,test if the chosen value x=−1 satisfies the initial inequality
More Steps

Evaluate
7(−1)5>0
Multiply the terms
More Steps

Evaluate
7(−1)5
Evaluate the power
7(−1)
Multiply the numbers
−7
−7>0
Check the inequality
false
x<0 is not a solutionx2=1
To determine if x>0 is the solution to the inequality,test if the chosen value x=1 satisfies the initial inequality
More Steps

Evaluate
7×15>0
Simplify
More Steps

Evaluate
7×15
1 raised to any power equals to 1
7×1
Any expression multiplied by 1 remains the same
7
7>0
Check the inequality
true
x<0 is not a solutionx>0 is the solution
Solution
x>0
Alternative Form
x∈(0,+∞)
Show Solution
