Given:
The compound inequality is:
To find:
The integer solutions that satisfy the given inequality.
Solution:
We have,
Subtracting 5 from each side, we get
All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.
The integers between -3 and 2 are -2, -1, 0, 1.
Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is .
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:
The result - 1225π shows that the cylinder can be filled fully with that given amount.
Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = =
=
= -
This indicates the sequence is geometric with nth term
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = - , then
= 152
, so
a₇ = 152 = 152 ×
= 2.375