1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondaur [170]
3 years ago
11

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

Mathematics
1 answer:
eduard3 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

You might be interested in
Jessica's heart beats 12 times in 1/6 minute how many times does her heart beat each minute ​
Charra [1.4K]

Answer:

72

Step-by-step explanation:

12 6 times equals 72.

12x6=72

4 0
3 years ago
Explain how counting number of girls in five children family can be treated as a binomial experiment. What assumptions are neces
Juliette [100K]

This is a binomial experiment and you'll use the binomial probability distribution because:

  1. There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
  2. Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
  3. There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.

Since all of those conditions above are met, this means we have a binomial experiment.

Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.

8 0
3 years ago
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sa
Volgvan

If the discount is 15 percent, he still pays (100-15) or 85%

125.99 * 85%

125.99 * .85 = 107.09  is the price he pays for the rod

107.09 * .03 =3.21 is the sales tax

107.09+3.21=110.30 is the price of the rod with the discount and the tax

8 0
3 years ago
What is the value of the expression?<br>A. 3<br>B. 12<br>C. 27<br>D. 81​
Aleksandr [31]
I think the answer a
6 0
3 years ago
Read 2 more answers
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 452 Select three options
NNADVOKAT [17]

Answer:the ratio of the % increase has a different numerator from decrease

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of equations is given below 2x+3y=18 x+7y=31
    9·1 answer
  • PLEASE HELP!!! 100 PTS +Brainliest!!!Given the following values, which point would be considered an outlier?
    12·1 answer
  • Question 7 (1 point)
    11·1 answer
  • Solve completely by using the square root property
    8·1 answer
  • Jasmine invests $2,658 in a retirement account with a fixed annual interest rate of 9% compounded continuously. What will the ac
    12·1 answer
  • If W is 25% of Z, then Z:W is 75:25.<br> Is it true or false??
    13·2 answers
  • A person is driving a car on a straight road. The graph shows the distance y in
    15·1 answer
  • How can you tell which tape diagram you need
    7·1 answer
  • !!!!!!!!!!!!!!!!!!!! Yes
    8·2 answers
  • Find the slope of the line.<br><br> PLS HELP I AM SO BEHIND
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!