Which graph represents the solution to 5 +8x <3(2x + 4)? A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

Since   = 3.5, and that the inequality symbol is "<," then it means that   or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.