Given A = {x : -8 < 5x + 2 = 17, x belongs to I} and B = {x : -2 <= 7 + 3x < 17, x belongs to R}.
Represent A & B on two different number lines and write down the elements of A intersection B.

For A:

Draw a number line with a dot on 3

For B:

Draw a number line connecting points at -3 and 10/3. Open dot an 10/3, and closed dot at -3

Intersection: x = 3

Step-by-step explanation:

A = {x : -8 < 5x + 2 = 17, x belongs to I}

-8 < 5x + 2 = 17

-10 < 5x = 15

-2 < x = 3

It's only x = 3

B = {x : -2 <= 7 + 3x < 17, x belongs to R}

-9《3x < 10

-3《x < 10/3

Since there's only one value in A and that also lies in B, the intersection is at x = 3

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: