Question

Explanation process with problem = branliest and more points

Answer 1

Answer:

B

Step-by-step explanation:

So, this is a inequality.

The inequality is 2x+2 >= 10

Lets completly ignore the graphs for the moment, and just solve this inequawlity as we would like a normal equation.

So first, subtract 2 from both sides:

2x+2>=10

=

2x>=8

Now, divide by 2 to get x alone:

2x>=8

=

x>=4

So, we now know that x is greater than or equal to 4.

In a normal inequality, we would have to remember the following:

When it is greater than/less than or equal to the dot that marks the inequalities value is filled in.

When it is greater than/less than the dot that marks the inequalities value is open, kind of like a "o".

Also, recall that the dark black line that goes either left or right of the dot also varies:

If x is less than the dot that marks the inequalities value, then the dark black line with go left.

If x is greater than the dot that marks the inequalities value, then the dark black lne will go right.

So for our x>=4, since there is a equals sign, its a filled in dot.

So four our x>=4, since there is a greater than sign, the dakr black lines goes to the right.

Now, lets look at the graphs

There is only one that has the filled in dot on 4, and a black line that goes to the right. Thats B

So B is your answer!

Hope this helps! :)

Answer 2

Answer:

B

Step-by-step explanation:

In order to graph we must first isolate the variable.

We can do this by using inverse operations

2x + 2 ≥ 10

To get rid of the + 2 we subtract 2 because the expression is adding 2 and the inverse of addition is subtraction. But remember whatever we do to one side we have to do to the other so we subtract 2 from each side

2 - 2 cancels out

10 - 2 = 8

we now have 2x ≥ 8

Now we want to get rid of the 2 on "2x". 2x is the same as 2 times x and the inverse of multiplication is division, so we divide each side by 2

2x / 2 = x

8 / 2 = 4

we're left with x ≥ 4

To graph we place a point on "4" and fill in the point ( when the inequality sign is ≤ or ≥ we fill in the point )

When the inequality sign is facing the variable ( x ) the line will be going in the direction of right.

Hence, the answer is B