Question

Which is the best interpretation of the solution set for the compound inequality?

Answer 1

The Answer is C)x>3 or x<4 but i think you switched the signs around

Answer 2

Answer:  The correct option is (b) $3$

Step-by-step explanation:  We are given to select the best interpretation of the solution set for the following compound inequality :

$3(2x+1)>21~~\textup{or}~~4x+3$

We are to solve the inequalities separately.

We have

$3(2x+1)>21\\\\\Rightarrow 2x+1>\dfrac{21}{3}\\\\\Rightarrow 2x+1>7\\\\\Rightarrow 2x>6\\\\\Rightarrow x>\dfrac{6}{2}\\\\\Rightarrow x>3$

or

$4x+3$

Thus, the required solution is

$3$

Option (b) is CORRECT.