If chord is 3 inches from the center and chord is 5 inches from the center of the same circle, then chord cd is the longer chord.

Step-by-step

We know that for a given circle of radius R, the longest chord is the diameter, which is at 0 distance from the centre.

As we move the chord away from the centre, the chord length diminishes, up to at a distance R from the centre, the chord length is zero.

Therefore, the chord at 3 inches from the centre is longer than that at 5, assuming the radius is 5 inches or more.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

hreryryrranswer:

step-by-step explanation: