write interval notation for the set{|-3>x>-5}
{x | -5 < x < -3}
Interval notation uses '()' for points that are not included, and '[]' for points that are included.
Because < and > does not include the points -5 and -3 (it would have to be <= >=), the notation is (-5, -3)
thank you so much i had it right. i need help with this one too. i don't understand it.
solve.
-7/2x=-9/4
the solution set is {x|x__ __}
(Simplify your answer.Type an inequality symbol;they type an integer or a fraction.)
To write the interval notation for the set {-3 > x > -5}, we need to interpret the inequality symbols.
The symbol ">" represents "greater than," while the symbol "<" represents "less than."
In this case, the given inequality is "-3 > x > -5." We can break it down into two separate inequalities:
1. -3 > x: This means x is less than -3.
2. x > -5: This means x is greater than -5.
Now, let's express these two inequalities in interval notation:
1. The interval for x being less than -3 can be represented as (-∞, -3). This means x is any value that is less than -3.
2. The interval for x being greater than -5 can be represented as (-5, ∞). This means x is any value that is greater than -5.
Combining these intervals, we get the final interval notation for the set {-3 > x > -5} as (-∞, -3) ∪ (-5, ∞).