# How do you solve and write the following in interval notation: 2x> -10 or x > 1?

Jan 6, 2018

$\left(- 5 , \setminus \infty\right)$

Or, if you want to look cool and smart,

$x \in \left(- 5 , \setminus \infty\right)$

#### Explanation:

Simplifying the first inequality:

$2 x > - 10$
$x > - 5$

Note that the second inequality is contained within the first inequality; if $x$ is greater than 1, then it must also be greater than -5. Thus, we can just ignore the second inequality.

Putting this into interval notation, the lower bound would be -5, without including -5, and the upper bound is $\setminus \infty$:

$x \in \left(- 5 , \setminus \infty\right)$

The left parentheses is round, since we are excluding -5. The right parentheses is also round, because of convention (and also because infinity is just a concept and not an actual number)

The fancy "E" represents the word "in"; $x \in \left[a , b\right]$ means that $x$ is in the interval $\left[a , b\right]$.