The given question is wrong.
Question:
What is the solution set to the inequality (4x – 3) (2x – 1) ≥ 0?
(A)
(B)
(C)
(D)
Answer:
The solution set to the given inequality is .
Solution:
Given expression is (4x – 3) (2x – 1) ≥ 0.
Let us take the expression is equal to zero.
(4x – 3) (2x – 1) = 0
By quadratic factor, If AB = 0, then A = 0 or B = 0.
(4x – 3) = 0 or (2x – 1) = 0
Let us take the first factor equal to zero.
⇒ 4x – 3 = 0
⇒ 4x = 3
Now, take the second factor equal to zero.
⇒ 2x – 1 = 0
⇒ 2x = 1
So, .
Now, write it in the inequality to make the statement true.
Option C is the correct answer.
The solution set to the given inequality is .