# How do you write the interval (1, 2) as an inequality involving x and show each inequality using the real number line?

Jan 17, 2018

$1 < x < 2$

#### Explanation:

When writing intervals as inequalities we need to remember that parentheses, like, $\left(a , b\right)$ are equivalent to strict inequalities, so $\left(a , b\right) \rightarrow a < x < b$. Brackets, like $\left[a , b\right]$ are equivalent to inclusive inequalities, so $\left[a , b\right] \rightarrow a \le x \le b$.

For this problem $\left(1 , 2\right) \rightarrow 1 < x < 2$.

On a number line put 1 and 2.
Put open circles at 1 and at 2.
Shade the region of between the circles.
(Not sure how to conveniently show that on here.)