Answer:
The number is less than - 0.708
Step-by-step explanation:
Given - 3 is added to 5 times a certain number and the result is multiplied by 5 the final answer is not more than 2 less than the number
To find - What is the number ?
Proof -
Let a number be x
Given that,
3 is added to 5 times a certain number
So,
The expression becomes 3 + 5x
Now,
Given that, the result is multiplied by 5
So,
The expression becomes (3 + 5x)× 5
Now,
Given that,
The final answer is not more that 2 less than the number.
So,
The equation becomes
(3 + 5x)× 5 ≤ x - 2
⇒15 + 25x ≤ x - 2
⇒15 + 2 + 25x - x ≤ 0
⇒17 + 24x ≤ 0
⇒24x ≤ -17
⇒x ≤ - [tex]\frac{17}{24}[/tex]
⇒ x ≤ -0.708
∴ we get
The number is less than - 0.708
