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3 years ago

Solve the compound inequality 6b < 36 or 2b + 12 > 6.

Mathematics

2 answers:

ss7ja [257]3 years ago

5 0

Answer:

all values of b

Step-by-step explanation:

6b < 36 or 2b + 12 > 6.

First solve the one on the left

6b < 36

Divide by 6

6b/6 < 36/6

b <6

Then solve the one on the right

2b + 12 > 6

Subtract 12 from each side

2b+12-12 >6-12

2b >-6

Divide by 2

2b/2 >-6/2

b >-3

b<6 or b >-3

Rewriting

b>-3 or b<6

b > -3 is an open circle at -3 with a line going to the right

b < 6 is an open circle at 6 with a line going to the left

The or means we add the lines together

We have a line going from negative infinity to infinity

all values of b

Murrr4er [49]3 years ago

4 0

Answer:

All real numbers b ∈ $(-\infty, \infty)$

Step-by-step explanation:

First we solve the following inequality

$6b < 36$

Divide by 6 both sides of the inequality

$b$

The set of solutions is:

$(-\infty, 6)$

Now we solve the following inequality

$2b + 12 > 6$

Subtract 12 on both sides of the inequality

$2b + 12-12 > 6-12$

$2b> -6$

Divide by 2 on both sides of the inequality

$\frac{2}{2}b> -\frac{6}{2}$

$b> -3$

The set of solutions is:

$(-3, \infty)$

Finally, the set of solutions for composite inequality is:

$(-\infty, 6)$ ∪ $(-3, \infty)$

This is: All real numbers $(-\infty, \infty)$

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Answer:

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Step-by-step explanation:

Given:

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Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

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On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

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