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4 years ago

Can someone help me, please ?? im stuck

Mathematics

1 answer:

Tresset [83]4 years ago

8 0

Part A

5x - 5 >= 10 or-3x + 1 > 13

1) This is a disjunction (OR)

5x - 5 >= 10

5x >= 15

x >= 3

-3x + 1 > 13

-3x > 12

x < -4

Answer

x <- 4 or x >= 3

Part C:

1) This is a conjunction (And)

5x+ 3 <= 18 and 4 - x < 6

5x <= 15 and - x < 2

x <= 3 and x > -2

Answer

-2 < x <= 3

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Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

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The third angle is 14 more than the second

$z=y+14$

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Combine like terms;

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Divide by 6.

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Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

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Distribute the + sign and Combine like terms;

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Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

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