Answer:
t ≤ 15
Step-by-step explanation:
The number is t, and 1/3 of that number would be [tex]\frac{1}{3}[/tex] t
So:
[tex]\frac{1}{3}[/tex] t ≤ 5
If we solve for t we get out answer.
[tex]\frac{1}{3}[/tex] t = 5 Divide each side by [tex]\frac{1}{3}[/tex]
When you divide by a fraction you take it's inverse and multiply,
so [tex]\frac{1}{3}[/tex] becomes [tex]\frac{3}{1}[/tex] which is the same as 3.
Now we have t = 5*3
t = 15
So t must be less than or equal to 15.
t ≤ 15
You can check your answer by choosing a number greater than 15 and less than 15.
Let's choose 12 and 18.
[tex]\frac{1}{3}[/tex] t ≤ 5 [tex]\frac{1}{3}[/tex] t ≤ 5
[tex]\frac{1}{3}[/tex] (12) ≤ 5 [tex]\frac{1}{3}[/tex] (18) ≤ 5
4 ≤ 5 6 ≤ 5
Yes! No!
So our answer is correct.
