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

1 Answer
Jan 17, 2018

Answer:

#1 < x < 2#

Explanation:

When writing intervals as inequalities we need to remember that parentheses, like, #(a,b)# are equivalent to strict inequalities, so #(a,b) rarr a < x < b#. Brackets, like #[a,b]# are equivalent to inclusive inequalities, so #[a,b] rarr a <= x <= b#.

For this problem #(1,2) rarr 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.)