Given:
The inequalities are:
a) 
b) 
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,

After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of
are
.
b)
We have,

After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of
is
.
Answer:
The correct answer is third option
x = 3
Step-by-step explanation:
It is given that,
4ˣ = 8⁽ˣ ⁻ ¹⁾
<u>To find the value of x</u>
4ˣ = (2²)ˣ
8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾
4ˣ = 8⁽ˣ ⁻ ¹⁾
(2²)ˣ = (2³)⁽ˣ ⁻ ¹⁾
2²ˣ = 2⁽³ˣ ⁻ ³⁾
2x = 3x - 3
3x - 2x = 3
x = 3
The correct answer is third option
x = 3
Answer:
C
Step-by-step explanation:
% Interest = 5%
Principal Amount = $4100
Period Of Pay = 3 yrs
Interest Amount
5/100 × 4100 × 3
=615
Amount After Interest
4100 + 615 = 4715
Answer = 4715
Answer:
15 feet.
Step-by-step explanation:
Tony's speed = 15 ft/min.
Antonio's = 18 feet /min.
So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.
So the answer is 90-75 = 15 feet.