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
Flura [38]
3 years ago
10

Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7 x < –5 or x > 5 x < –5 or x > 2

x < –12 or x > 2 x < –7 or x > 5

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A. 2x-2 < -12

2x-2 < -12 i.e. 2x < -10 i.e. x < -5

B.  2x+3 > 7

2x+3 > 7 i.e. 2x > 4 i.e. x > 2

So, we get the solution is x or x>2 and the plotted region can be seen below.

You might be interested in
A baseball player which is based 35% of the time how many times can he expect to reach base and 150 at baths
Elan Coil [88]
He will expect to reach base 35%*150 times, or .35*150=52.5 times.  Although you cannot "reach base half of a time", this is the expected value for the amount of times he would reach base in this situation.
4 0
3 years ago
Which Best summarizes the Pythagorean theorem
Masja [62]

the sum of the squares of the lengths of the legs of a right triangle equal the square of the length of the hypotenuse

Explanation

Pythagorean theorem is related to the right angle triangle and it states that

c^2= a^2 + b^2

Where C is the length of the hypotenuse

a  and b are the length of the sides of the triangle

The theorem states that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse

4 0
3 years ago
Read 2 more answers
the congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the p
vazorg [7]

Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is

... s + (s+1) + (s+1) = 3s+2

The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so

... 3s+2 = 4s-8

... 10 = s . . . . . . . . add 8-3s to both sides

The length of the shorter side of the triange is 10 units.

8 0
3 years ago
Read 2 more answers
PleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeSimplify -2^3
mars1129 [50]

Answer:

Therefore,

(-2)^{3}=-8

Step-by-step explanation:

Simplify

-2^3

(-2)^{3}

It is read as negative 2 raised to the power three,

also it is the cube of negative 2

we know that a^{3}given as

a^{3}=a\times a\times a

so for negative a i.e -a

(-a)^{3}=-a\times -a\times -a

substituting a = 2 we get

(-2)^{3}=-2\times -2\times -2

negative sign multiplied by odd number of times then the sign remains negative.

Therefore,

(-2)^{3}=-8

5 0
4 years ago
A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum
BARSIC [14]
Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125  = 1/(4pi/3) = 3/(4pi)

Answer: B
8 0
3 years ago
Read 2 more answers
Other questions:
  • Determine whether quantities vary directly or inversely and find the constant of variation.
    13·2 answers
  • How many times larger is 5.4x10^15 than 9.0x10^3?
    11·1 answer
  • No irrational numbers are whole numbers true or false? Please explain
    13·1 answer
  • The figure shows two parallel lines KL and NO cut by the transversals KO and LN:
    15·2 answers
  • Can someone answer this question please? Am I correct?
    5·1 answer
  • What will be the equation of a line that is
    12·1 answer
  • What is 4 times as many as 8?
    5·2 answers
  • Căn 3 sinx-cosx=1<br> ....................
    6·1 answer
  • The age of sara's father is thrice hers the age of sara's brother is 4 years more than her find an expression in terms of y for
    8·2 answers
  • Solve the equation or formula for the specified varlable. BANKING The formula for simple interest I is I = Prt, where P is the p
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!