Answer:
3/4 and 1/2
Step-by-step explanation:
(4x-3)(2x-1) ≥ 0
If the product of 2 numbers is zero, the one of the numbers must be equal to zero.
(4x-3)(2x-1) ≥ 0
(4x-3) ≥ 0 or (2x-1) ≥ 0
4x ≥ 0+3 2x ≥ 0+1
4x ≥ 3 2x ≥ 1
x ≥ 3/4 x ≥ 1/2
Answer:
Solutions are x ≥ 3/4 and x ≥ 1/2.
Step-by-step explanation:
In the given question an inequality has been given and we have to find out the solutions.
First we write down the inequality as
(4x-3)(2x-1) ≥ 0
From this inequality we can say that there are two solutions.
Therefore the factor 4x-3 ≥ 0 ⇒ 4x ≥ 3
⇒ x ≥ 3/4
Now 2x-1 ≥ 0
⇒ 2x ≥ 1
⇒ x ≥ 1/2
means this inequality has the two sets of the solutions.
One is all the positive numbers greater than equal to 3/4 and all the positive numbers greater than equal to 1/2.
