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
kari74 [83]
2 years ago
15

-7 < -(x+7) < 1

Mathematics
2 answers:
dimaraw [331]2 years ago
8 0

Answer:

- 8 < x < 0  

Interval notation: (-8, 0)

Step-by-step Explanation:

Given the compound inequality statement, - 7 < -(x + 7) < 1 :

Solve the compound inequality in groups:

- 7 < -(x + 7)  and  -(x + 7) < 1

<h3>- 7 < -(x + 7)  </h3>

Switch sides to make it easier to solve:

-(x + 7)  > - 7

Using the multiplication property of inequality where it states that multiplying each side of an inequality <u>with a negative number</u> <em>reverses</em> the direction of the inequality symbol.  

Multiply both sides by -1 to eliminate the negative sign, and reverse the inequality:

(-1 ) -(x + 7)  > (- 7) (-1 )

x + 7 < 7

Then, subtract 7 from both sides to isolate y:

x + 7 - 7 < 7 - 7

x < 0

Next, we'll work on the other group:

<h3>-(x + 7) < 1 </h3>

Multiply both sides by -1 to eliminate the negative sign, and reverse the inequality:

(-1 ) -(x + 7) > 1 (-1 )

x + 7 > - 1

Subtract 7 from both sides:

x + 7 - 7 > - 1 - 7

x > -8

Therefore, the correct answer is: - 8 < <em>x</em> < 0, or in <u>interval notation</u>: (-8, 0).

Arturiano [62]2 years ago
7 0

Answer:

Move all terms not containing x from the center section of the inequality.

Inequality Form:

−8<x<0

Interval Notation:

(−8,0)

Step-by-step explanation:

You might be interested in
How do you solve #10
IgorLugansk [536]
LINEAR \: \: EQUATIONS \\ \\ \\ Given \: expression \: \: - \: \\ \\ \frac{7}{3} (2x + 3) + \frac{3}{4} ( \frac{x}{5} - \frac{15}{2} ) = \frac{11}{8} \\ \\ \frac{14x}{3} + \frac{21}{3} + \frac{3x}{20} - \frac{45}{8} = \frac{11}{8} \\ \\ \frac{14x}{3} + \frac{3x}{20} + \frac{21}{3} - \frac{45}{8} = \frac{11}{8} \\ \\ \frac{289x}{60} = \frac{11}{8} + \frac{45}{8} - \frac{21}{3} \\ \\ \frac{289x}{60} = \frac{56}{8} - \frac{21}{3} \\ \\ \frac{289x}{60} = 7 - 7 = 0 \\ \\ \frac{289x}{60} = 0 \\ \\ \\ \: \: \: \:|| \: \: \: x = 0 \: \: \:|| \: \: \: \: \: \: \: \: \: \: \: \: \: Ans.
3 0
3 years ago
If f(x)=3x +10, g(3)=9 and f(-2)=g(-2) find the equation of the linear function g(x)
Agata [3.3K]

Answer:

The equation of the linear function g(x) is

g(x) = x + 6

Step-by-step explanation:

The step by step explanation is attached here.

Download rtf
5 0
3 years ago
A delivery truck travels 55 miles per hour. How many feet per hour is Mr. Jones driving?
Irina-Kira [14]

Answer:

A delivery truck, Mr. Jones drives 290400 feet per hour.

Step-by-step explanation:

To Determine:

How many feet per hour is Mr. Jones driving?

Solution Steps:

  • A delivery truck travels 55 miles per hour.

As we know that

  • Total number of feet in one mile = 5,280

so

Total number of feet in 55 miles = 5,280 × 55 = 290400

Thus

A delivery truck travels 290400 feet per hour.

Therefore, a delivery truck, Mr. Jones drives 290400 feet per hour.

3 0
3 years ago
Find the volume of a cylinder whose height is 7 cm and radius is 10 cm​
Karolina [17]

Question

find the volume of a cylinder whose height is 7 cm and radius is 10 cm​Answer:soln

volume of cylinder= pie r ^h where pie = 22/7

height=7 cm

radius=10 cm

now,

volume of cylinder= 22/7*10*10*7cm

V≈2199.11cm³

3 0
3 years ago
A carpenter uses the equation y = 3.75x to determine how many hours (y) it will take him to build a desk (x). The carpenter buil
ICE Princess25 [194]
Y = 3.75x...he built 5 desks...so x = 5
y = 3.75(5)
y = 18.75 hrs
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which one is smallest 0.28,1/4,15%,0.65,32%,1/3
    6·2 answers
  • Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t
    15·1 answer
  • LESSON 23-1 PRACTICE
    12·2 answers
  • Three copies of a 14x45 rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new re
    11·1 answer
  • What is the inverse function of f(x) = x
    10·1 answer
  • It’s hard may anyone help me answer this question
    12·1 answer
  • Which graph shows the solution to the inequality –0.5x ≤ 7.5? A number line going from negative 18 to negative 8. A closed circl
    11·2 answers
  • What is the product of 3.06 and 4.1 rounded to the nearest hundredth?
    5·1 answer
  • Slope of (5,3) (-4,13)
    15·1 answer
  • What percentage of Americans would you predict wear contact lenses?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!