Which set of ordered pairs in the form of (x, y) does not represent a function of x? a. {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)} b. {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)} c. {(1, 1.5), (–1, 1.5), (2, 2.5), (–2, 2.5)} d. {(1, 1.5), (–1, –1.5), (2, 2.5), (–2, 2.5)}

Option B

Step-by-step explanation:

For answering this question we must understand what is a function.

A function is different from mapping.

Mapping is just a subset of AxB where A and B are two sets.

But function is constrained to the point that elements of I set will have unique image in second set.

We find From the options

But in option B,, we find that 1 has two images 3.3 and 4.5.  i.e. 1 does not have unique image. Hence not a function.

All other options the first element in ordered pair have a unique image.

Hence all other options are functions.

Only option B is not a function.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .