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
Katyanochek1 [597]
1 year ago
5

For the following exercises, solve each inequality and write the solution in interval notation.

Mathematics
1 answer:
WARRIOR [948]1 year ago
4 0

Answer:

The solution to the inequality $2|v-7|-4 \geq 42$ in interval notation is given by $-16 \leq v \leq 30$.

Step-by-step explanation:

An absolute value inequality $2|v-7|-4 \geq 42$ is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 4

The given absolute value inequality is $2|v-7|-4 \geq 42$.

Add on both 4 sides,

$$\begin{aligned}&2|v-7|-4 \geq 42 \\&2|v-7|-4+4 \geq 42+4 \\&2|v-7| \geq 46\end{aligned}$$

Step 2 of 4

Divide by 2 on both sides,

$$\begin{aligned}&\frac{2|v-7|}{2} \geq \frac{46}{2} \\&|v-7| \geq 23\end{aligned}$$

The inequality can be written as $v-7 \leq 23$ and $v-7 \geq-23$

Step 3 of 4

First solve the inequality, $v-7 \leq 23$.

Add 7 on both sides,

$$\begin{aligned}&v-7 \leq 23 \\&v-7+7 \leq 23+7 \\&v \leq 30\end{aligned}$$

Step 4 of 4

Solve the inequality $v-7 \geq-23$.

Add 7 on both sides,

$$\begin{aligned}&v-7 \geq-23 \\&v-7+7 \geq-23+7 \\&v \geq-16\end{aligned}$$

The solution of the inequality in interval notation is given by $-16 \leq v \leq 30$.

You might be interested in
Given f(x)=-x-1f(x)=−x−1, find f(0)f(0).
dalvyx [7]

The value of f(0) is -1

<h3>What is a function?</h3>

A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.

Given the function;

f(x)= -x - 1

To determine f(0), we substitute the value of x as 0 in the function

So, we have;

f(0) = -(0) - 1

f(0) = -0 - 1

f(0) = -1

Thus, the value of f(0) is -1

Learn more about functions here:

brainly.com/question/17043948

#SPJ1

7 0
1 year ago
Select the equivalent expression. 2^-4 = ?​
mrs_skeptik [129]

Answer:

1/16

Step-by-step explanation:

This means 1/2x2x2x2  = 1/16

7 0
1 year ago
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviati
elena55 [62]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

 

4 0
2 years ago
Simplify 4y + 2y - 5y
goldfiish [28.3K]

Answer:

Your answer is y.

Step-by-step explanation:

4y+2y-5y         given

=6y-5y             add

=y                    subtract

5 0
3 years ago
Read 2 more answers
Round 171,936 to the nearest ten thousand
hodyreva [135]

Answer:

Rounding = 170,000

3 0
2 years ago
Read 2 more answers
Other questions:
  • Hello, i need help! <br> 5/2 multiplied by what equals 1? <br> equation: 5/2×?=1
    9·1 answer
  • 60°<br> 18<br> Solve for x. Round to the nearest<br> tenth.
    9·1 answer
  • How would you write the equation with a slope of 2/3 and a y-intercept of (0,-3)?
    7·1 answer
  • The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
    5·1 answer
  • Is 5x-7y=3 standard form?
    9·1 answer
  • WILL GIVE 100 POINTS
    5·2 answers
  • What are the answer for these I need it ASP its a test its 505 of my grade!!!!!!! PLZ
    7·1 answer
  • Find the difference in the given lengths of the polygons . (7x + 2) units (6x - 5) units .
    8·1 answer
  • Which of the following is not an undefined term?<br><br> point<br> ray<br> plane<br> line
    11·1 answer
  • jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!