Which inequality best represents the domain of the part shown? F. All real numbers
G. All real numbers greater than -6 and less than 8
H. All real numbers greater than or equal to -6 and less than 8
J. All real numbers greater than -3 and less than or equal to 6

H

Step-by-step explanation:

Hello!

An inequality is easy to read if we know how to read it. Domain is the x values that the line goes through.

When a dark closed circle is on a graph, it means that number counts as apart of domain and range.

-6 is circled, which means in the graph, -6 is apart of the domain.

If a open closed circle is on a graph, it means that the number is skipped in the domain and range.

8 is open, which means 7.9999999999 is a valid domain and 8.0000001 (and any examples) are valid, but 8 is not.

This helps us conclude that H is the only possible answer.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!