Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for t
t<59
Alternative Form
t∈(−∞,59)
Evaluate
t5<9
Move the expression to the left side
t5−9<0
Rewrite the expression
t5−9=0
Move the constant to the right-hand side and change its sign
t5=0+9
Removing 0 doesn't change the value,so remove it from the expression
t5=9
Take the 5-th root on both sides of the equation
5t5=59
Calculate
t=59
Determine the test intervals using the critical values
t<59t>59
Choose a value form each interval
t1=1t2=3
To determine if t<59 is the solution to the inequality,test if the chosen value t=1 satisfies the initial inequality
More Steps

Evaluate
15<9
1 raised to any power equals to 1
1<9
Check the inequality
true
t<59 is the solutiont2=3
To determine if t>59 is the solution to the inequality,test if the chosen value t=3 satisfies the initial inequality
More Steps

Evaluate
35<9
Calculate
243<9
Check the inequality
false
t<59 is the solutiont>59 is not a solution
Solution
t<59
Alternative Form
t∈(−∞,59)
Show Solution
