What is the solution set to the inequality (4x-3)(2x-1)=> 0?

x <= 1/2 or x >= 3/4

In interval notation:

Step-by-step explanation:

First, solve the related equation for x.

(4x - 3)(2x - 1) = 0

4x - 3 = 0 or 2x - 1 = 0

4x = 3 or 2x = 1

x = 3/4 or x = 1/2

Now you have 2 points of interest, 1/2 and 3/4.

Plot these two numbers on a number line using solid dots.

The number line is now divided into three regions: left of 1/2, between 1/2 and 3/4, and right of 3/4. We need to test a point from each region to see which regions are part of the solution.

Test -1

(4x - 3)(2x - 1) => 0

[4(-1) - 3][2(-1) - 1] => 0 ?

(-7)(-3) => 0 ?

21 => 0 True

The interval left of 1/2 up to and including 1/2 is part of the solution.

Test 0.6

(4x - 3)(2x - 1) => 0

[4(0.6) - 3][2(0.6) - 1) => 0 ?

(-0.6)(0.2) => 0 ?

-0.12 => 0 False

The interval between 1/2 and 3/4 is not part of the solution.

Test 1

(4x - 3)(2x - 1) => 0

[4(1) - 3][2(1) - 1] => 0 ?

(1)(1) => 0 ?

1 => 0 True

The interval right of 1/2 including 1/2 is part of the solution.

x <= 1/2 or x >= 3/4

In interval notation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.