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3 years ago

Six times a number is less than 72

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

It could be any number under 11

trasher [3.6K]3 years ago

4 0

To solve we have to break this down into segments:
1. Six | That gives us 6.
2. times | This implies multiplication. So...: 6 *
3. a number | Unknown variable, depicted as 'x' typically. So: 6 * x
4. is less than | Referencing the less than symbol, seen as '<'. So: 6 * x <
5. 72 | The final number to input. So: 6 * x < 72

Conclusion: 6 * x < 72 is the translated equation.

You didn't specify to simplify, I'd advise to do so in the long-run. In case your problem requires this:

To solve for x:

6 * x = 6x | Now put this together:
6x < 72 | Use the division property of equality.
6x/6 < 72/6 | Simplify.
x < 12 | Meaning that the unknown variable is less than 12 overall.

I hope this helps, have a great rest of your day! ^ ^
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<h2>Explanation:</h2>

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Second pair of opposite sides:

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$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

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