Answer to Question #97304 in Algebra for Alexandra

Question

You will come across multiple inequalities in your work and will be asked to express your answers in interval notation. A quick note about interval notation with multiple parts: Suppose your answer was x<2 or x>10. In interval notation, each of these should look like ( − ∞ , 2 )and( 10 , ∞ ). To express this in interval notation, we say ( − ∞ , 2 ) ∪ ( 10 , ∞ ). The ∪ in the middle stands for union and means that you are joining both of those intervals together.

Express the following inequalities in interval notation − 10 < x ≤ 4 or x>7.

Answer 1

$-10<x\leq4$ or $x>7$ in interval notation: $(-10,4]\;U\;(7,\infty)$