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son4ous [18]
1 year ago
7

Solve x/4>_-1 and -4x-4<_-3 and write the solution in interval notation. If there is no solution, type the no solution sym

bol.
Mathematics
1 answer:
Rainbow [258]1 year ago
4 0

The solution interval for x is x ∈ (-1/4 , ∞)

An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.

Here, we are given two inequalities

x/4 > -1 and -4x - 4 < -3

Let us take the first equation

x/4 > -1

⇒ x > 4(-1)

x > -4

Now, the second equation

-4x - 4 < -3

-4x < -3 + 4

-4x < 1

Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,

x > 1/-4

x > -1/4

Thus, we get x > -4 and x > -1/4

This means that all values of x greater than -1/4 will satisfy.

Thus, x ∈ (-1/4 , ∞)

Learn more about inequalities here-

brainly.com/question/25275758

#SPJ9

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Equation:
jekas [21]

Answer:

x = 41; B = 41°; A = 77°

Step-by-step explanation:

All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.

4 0
3 years ago
Six times a number is 45 greater than the the product of the number and -3. Find the number.
blagie [28]

Let us try to formulate the expressions one by one.

let the number be x.

Step 1:

six time the number is 6*x = 6x

Step 2:

product of the number and -3 is -3x

Step 3:

now let us make equation for it:

6x = -3x +45

adding 3x on the left side,

6x+3x = 45

9x = 45

dividing right side by 9

x=45/9 = 5

So the number is x=5



6 0
2 years ago
Reduce <br>0.1 x squared - 8.1 x + 8 = 0 to<br>2x squared - x + 80 = 0<br><br>​
Yuliya22 [10]

Answer:

x = 8

x = -10

Step-by-step explanation:

7 0
2 years ago
Euleuy VI, Ulalla PUSIUI 407220)
Artyom0805 [142]

Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

3 0
2 years ago
-0.125 as a fraction
kaheart [24]

Answer:

-1/8

Step-by-step explanation.

125 x 8 = 1000

.125 x 8 = 1

-.125 x 8 = -1

-1/8

8 0
3 years ago
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