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
givi [52]
3 years ago
12

What is the solution of |x – 2| > –3

Mathematics
1 answer:
Amanda [17]3 years ago
6 0
Answer: The solution is the set of all real numbers (there are infinitely many solutions).

The reason why this is the case is because |x| is never negative. The smallest it can get is 0, which is larger than -3. That applies to |x-2| as well. So |x-2| is ALWAYS larger than -3 no matter what you pick for x. The smallest |x-2| can get is 0 and that happens when x = 2. Otherwise, the result is some positive value which is larger than -3.

So that's why |x-2| > -3 has infinitely many solutions. We can replace x with any real number we want, and the inequality would be true. 
You might be interested in
A rectangular patio measures 20 feet by 30 feet. By adding x feet to the width and x feet to the length, the area is doubled. Fi
Mariana [72]

Answer:

2400sq ft

Step-by-step explanation:

20×2 and 30×2

40×60

2400 sq ft

3 0
3 years ago
Read 2 more answers
Just trying to pass math man
makkiz [27]
The answer is 3x^2 +3x
6 0
2 years ago
can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?
Vedmedyk [2.9K]

Answer:

8x+19=9x+9

Step-by-step explanation:

Simplifying

(8x + 19) = (9x + 9)

Reorder the terms:

(19 + 8x) = (9x + 9)

Remove parenthesis around (19 + 8x)

19 + 8x = (9x + 9)

Reorder the terms:

19 + 8x = (9 + 9x)

Remove parenthesis around (9 + 9x)

19 + 8x = 9 + 9x

Solving

19 + 8x = 9 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

19 + 8x + -9x = 9 + 9x + -9x

Combine like terms: 8x + -9x = -1x

19 + -1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0

19 + -1x = 9 + 0

19 + -1x = 9

Add '-19' to each side of the equation.

19 + -19 + -1x = 9 + -19

Combine like terms: 19 + -19 = 0

0 + -1x = 9 + -19

-1x = 9 + -19

Combine like terms: 9 + -19 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

6 0
1 year ago
Read 2 more answers
Type the correct answer in the box. Use a comma to separate the x- and y-coordinates of each point. The coordinates of the point
MAVERICK [17]

Answer:

On a unit circle, the point that corresponds to an angle of 0^{\circ} is at position (1, \, 0).

The point that corresponds to an angle of 90^{\circ} is at position (0, \, 1).

Step-by-step explanation:

On a cartesian plane, a unit circle is

  • a circle of radius 1,
  • centered at the origin (0, \, 0).

The circle crosses the x- and y-axis at four points:

  • (1, \, 0),
  • (0, \, 1),
  • (-1,\, 0), and
  • (0,\, -1).

Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.

When the angle is equal to 0^\circ, the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be (1, \, 0).

To locate the point with a 90^{\circ} angle, rotate the 0^\circ segment counter-clockwise by 90^{\circ}. The segment would land on the positive y-axis. In other words, the 90^{\circ}-point would be at the intersection of the positive y-axis and the circle. Its coordinates would be (0, \, 1).

4 0
3 years ago
If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show y
Georgia [21]

Answer:

25

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25

5 0
2 years ago
Other questions:
  • HELP! I will give BRAINLIEST!! Please EXPLAIN Olga tried to solve an equation step by step. ​ Equation: 1/4 ( 1/3k + 9) = 6 ​ St
    10·1 answer
  • What is the answer to 3-x/2=6
    12·1 answer
  • Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) =
    8·2 answers
  • If x= 8 x 9 x 27 then what is 3 square root of x
    7·1 answer
  • Guess what y’all…<br><br> season 2 of Never Have I Ever is coming out in July 2021!!!
    11·2 answers
  • Brooke went to the hardware store and bought 20 identical copper pipes. When Brooke lined up the pipes end-to-end, the line was
    15·1 answer
  • Write the number twenty one thousand and sixty four in figures
    11·2 answers
  • Can someone help me
    5·1 answer
  • Find the area of the polygon​
    11·1 answer
  • Find the equation of a circle whose center is at (-3, 7) and radius is 9 units.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!