a) Solve 2x = 2
Answer: x = 1
Step-by-step explanation:
2x = 2 - We have to unravel the answer and find out what x is. x is a variable, which is a value, that holds a secret number and we have to figure that out. 2x is not one variable, it just means 'x' twice.
x = 2 / 2 - We already know that x twice = 2, but we need to find out what x means by itself. So, to figure that out, we need to move the 2 which was next to the x, by the 2 on the other side of the solution, and divide it. That way, we evenly find out what x is.
x = 1 - If x twice is 2, then x by itself has to be 1.
b) Solve 2x > 2
Answer: x < 1, or anything bigger than 2 is equal to x.
Step-by-step explanation:
2x > 2 - We're trying to figure out how much is x by itself.
x > 2 / 2 - x doubled is greater than 2, so the opposite of doubling x would have to be splitting 2 into half, since we are moving it to the opposite side of the equation.
x > 1 - x is anything greater (bigger) than 1.
Graph:
Moving the first point to 2 (since x is greater than 1), and let the last point go as far as it can (since x is any number greater than 2, even if its 9000).
c) Choose T for true, and F for false.
Answer: TBA
Step-by-step explanation:
I would say, true, but in what way would in solving inequalities be similar to solving equations?
Let me know if you have any further questions.
