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stira [4]
3 years ago
14

5/8 ≠ (3/4 + 1/16) because 5/8 < 3/4 EXPLAIN THIS PROBLEM AND WHAT IT MEANS

Mathematics
1 answer:
balu736 [363]3 years ago
8 0
5/8 = 3/4+1/16 is false because, the final values compared on each side of equation is not the same

- 5/8 = 0.625
- 3/4+1/16 = 0.8125
 
0.625 = 0.8125, it is not equal but less than


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Answer: \left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}

=======================================================

Explanation:

We have some number x such that x is a real number, so we write that as x \in \mathbb{R} which is saying "x is in the real number set".

The portion -5 \le x < 16 is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

-----------------

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

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