POSSIBLEP 25
Four points representing T, V10, 3.16, and are plotted on the number line shown below.
8
w
XYZ
3.1
3.2
Which statement correctly identifies the location of one of the points and whether it is a rational or an irrational number?
25
Point Wis the location of
8
and it is an irrational number
Point X is the location of and it is an irrational number.
Point Y is the location of 3.16. and it is a rational number
Point Z is the location of v10, and it is a rational number.

the second answer is right

Step-by-step explanation:

while it is true that W=25/8, the definition itself (25/8) makes it a rational number (= a ratio of 2 integer numbers). so, in total, the first answer is therefore wrong.

X=pi, and pi is a typical example of an irrational number. so, this second answer is correct.

sqrt(10) < 3.16666666666...

so, Y=sqrt(10) and not 3.166666666..., so the third answer is already wrong there.

and consequently, Z=3.166666... and not sqrt(10), so the fourth answer is therefore also wrong.

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

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x