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kondaur [170]
4 years ago
11

Give the solution set for the inequality 7x < 7(x - 2) in interval notation.

Mathematics
1 answer:
eduard4 years ago
3 0

<u>ANSWER:</u>

The solution set for the inequality 7x < 7(x - 2) is null set \varnothing

<u>SOLUTION:</u>

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0  

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is \varnothing

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Step-by-step explanation:

30.00-25.75= 4.28

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Compare the two functions to see which has a greater rate of change. Function 1
AleksAgata [21]

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

<u>Function 1:</u>

<u></u>-2x+5y = 10<u></u>

Adding 2x on both sides

<u></u>-2x+5y+2x = 2x+10\\5y = 2x+10<u></u>

Dividing both sides by 5

<u></u>\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2<u></u>

Let m1 be rate of change of function 1:

<u></u>m_1 = \frac{2}{5}<u></u>

<u></u>

<u>Function 2:</u>

<u></u>-6x+3y = 18<u></u>

Adding 6x on both sides

<u></u>-6x+3y+6x = 6x+18\\3y = 6x+18<u></u>

Dividing both sides by 3

<u></u>\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6<u></u>

Let m2 be the slope of function 2

<u></u>m_2 = 2<u></u>

As we can see that

<u></u>m_2>m_1<u></u>

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

7 0
3 years ago
6x + 11 + 3x .........................................
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Answer: I'm assuming you want this problem simplified.

6x + 11 + 3x

Combine like terms: 9x + 11

Your expression now looks like: 9x + 11

There is nothing left to simplify, so you're done!

Hope this helps!

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Answer:

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Please see the attached pictures for the full solution.

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