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

ttyme411gl
2022-07-13
Answered

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

You can still ask an expert for help

alomjabpdl0

Answered 2022-07-14
Author has **12** answers

Step 1

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

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.)

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

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.)

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I am trying to solve this inequality for x:

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With: ${c}_{1},{c}_{2},x,N\in \mathbb{N}$ and ${c}_{1},{c}_{2},N$ being just constants.

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With: ${c}_{1},{c}_{2},x,N\in \mathbb{N}$ and ${c}_{1},{c}_{2},N$ being just constants.