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3 years ago

Please answer quickly, thank you for your help

Mathematics

2 answers:

Volgvan3 years ago

8 0

Answer:

C: x > -6 or x < –9

Step-by-step explanation:

x + 9 < 0 or 2x > –12

For x + 9 < 0:

Isolate x by subtracting 9 from both sides of the inequality:

x + 9 – 9 < 0 – 9

x + 0 < – 9

x < – 9

For 2x > – 12:

Isolate x by dividing both sides of the inequality by 2:

$\frac{2x}{2} > \frac{-12}{2}$

x > – 6

Therefore, the solution is:

x < – 9 or x > – 6

Interval notation: [(– ∞, –9) ∪ (–6, ∞)]

The answer is C: x > -6 or x < –9

RoseWind [281]3 years ago

6 0

Answer:

-6<x<-9

Step-by-step explanation:

if x+9<0 and 2x>-12

x<-9

x>-6

X is smaller than -9 but greater than -6.

The solution is -6<x<-9

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3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the que

mina [271]

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

When two numbers of different signals are multiplied, the result is negative.
When two numbers have the same signal, the result is positive.

Part A:

Three numbers are multiplied, all negative.
The multiplication of the first two result in a positive number.
Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

$-2.5(-3.8)(-2) = 9.5(-2) = -19$

$-2.5(-2)(-0.7) = 5(-0.7) = -3.5$

Part B:

The rule is that the result is always negative.

Part C:

The multiplication of the first two negative numbers result in a positive number.
Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

$-2.5(-3.8)(2) = 9.5(2) = 19$