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alexira [117]
3 years ago
10

Evaluate the given algebraic expressions using the value of the variables:

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

1. 6(3-8)-10

=6(-5)-10

=-30-10

=-40

2.30(3)+15(10)

=90+150

=240

3. 2(3)(3+32+32)

=6(67)

=402

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Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

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Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

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