Question

Solve the inequality below, then determine which number line shows the solution graphed correctly.

Answer 1

Answer:

Line B

Step-by-step explanation:

2x-6<2

+6 +6

2x<8

/ /

2 2

x<4

It's Number Line B. All symbols are supposed to be less than or equal to, just don't have that symbol on my keyboard.

Answer 2

Answer:

B

Step-by-step explanation:

2x-6 is $\leq$ 2 is what you start with and first, you would have to move the 6 to the other side to isolate the 2x. To do that, you do the opposite operation of the 6 which is addition. Add 6 to both sides to the eqaution would end up being 2x$\leq$8. Now to isolate the x, we also have to do the opposite operation so divide the 2x and the 8 by 2. The eqaution would look like this x $\leq$4. Number line B would show this ineqaulity as the arrow is going left to show that x is less than 4 but the dot is also shaded in which means that 4 can also be the answer as well. Hope this helps:)