Answer:
The solution is 
.
Step-by-step explanation:
Given:
The inequality given is:
In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:
Now, 
is an absolute value function which is defined as:
Therefore, the given inequality can be rewritten as:
and 
Therefore, the solution is .
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.
3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5
2 = 4(1) - 2
2 = 4 - 2
2 = 2
Since both of these checks are true, then (1,2) is a solution to the system.
Answer:
-15
Step-by-step explanation:
We have the expression 3(2p - 5) - 6p and are asked to simplify.
Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.
3(2p - 5) - 6p
(3(2p) - 3(5)) - 6p
6p - 15 - 6p
Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.
6p - 6p
0
Leaving us with -15.
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
