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
Ratling [72]
2 years ago
7

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

Mathematics
1 answer:
WARRIOR [948]2 years ago
7 0

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 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 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

You might be interested in
Can someone please help me with math???
arlik [135]

Answers:

2x + 7

2x - 7 = 14

2 + 7

4 0
3 years ago
there is a direct path from gayle's house to the store. due to construction, the direct route is closed and gayle must travel 6
NikAS [45]

Answer:

c2=10

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

4 0
3 years ago
Read 2 more answers
What is the value of X?
bearhunter [10]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:

Angle sum of a triangle = 180°

As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:

Each angle of an equilateral triangle = the same value

Therefore:

Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°

Based on this, the following is applicable:

2x - 4 = 60°

2x = 60 + 4

2x = 64

x = 64 / 2

x = 32°

ANSWER:

Therefore, the answer is:

The value of ( x ) is 32°


Please mark as brainliest if you found this helpful! :)
Thank you <3
8 0
3 years ago
PLEASEEEE ANSWERRR FASTTTT!!!!!!!!!!What is the equation of the line whose graph is shown?
Mamont248 [21]

Answer:

A

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

To find m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line

m = \frac{-1-1}{-1-1} = \frac{-2}{-2} = 1

y = x ← is the equation of the line → A

8 0
4 years ago
Find the area of this figure.
zheka24 [161]

Answer:

98

Step-by-step explanation:

11(4)+9(6)

44+54

98

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solution to the equation x/3+ x/6=7/2
    15·2 answers
  • Find an ordered pair x,y 4x-y=5
    12·1 answer
  • If 2/5x = y + 7, which expression has a value of 35?
    6·1 answer
  • For Linear, Quadratic and Linear Functions
    9·2 answers
  • (Tough day dividing polynomials and I'm still lost!) Please help me my hands are legit numb:)
    13·1 answer
  • let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship
    5·1 answer
  • I tried x=44 and i still don’t understand even with the lesson, what does x equal?
    6·1 answer
  • 11points HELP PLZ!!!
    11·2 answers
  • Crafter’s Warehouse sells 5 yards of solid color fleece for $8.58. They sell 16 feet of patterned fleece for $11.00. Which fleec
    9·1 answer
  • Im
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!