Please help.
Hi, I am having some problems with inequalities.
It is asking us to solve and graph on a number line and then write it in interval notation and set notation.
X>2 and X>4
I graphed them in a number line already and i have the following:
Interval notation (2,infinity) and set notation
{X| X is >2 and X is >4}
Thanks!
Can you think of a number which is greater than 2 AND greater than 4 ?
Wouldn't that just be greater than 4 ?
so all you need is
{X| X is >4}
thank you
Good job on graphing the inequalities on a number line!
To solve the inequality X > 2, we want to find all possible values of X that are greater than 2. Since there are no other restrictions in the second inequality X > 4, all values of X greater than 4 would satisfy both inequalities.
So, the solution to the problem would be X > 4.
Now, let's express the solution in interval notation and set notation.
Interval notation:
The solution X > 4 can be represented in interval notation as (4, ∞), where the parenthesis indicates that 4 is not included in the solution and the infinity symbol (∞) represents all numbers greater than 4.
Set notation:
The set notation for the solution X > 4 can be written as {X | X > 4}, which means "the set of all X such that X is greater than 4".
Remember to always check your graph and solution to make sure it aligns with the problem statement. Good luck!