3 years ago

Solve for x: 4 − (x + 2) < −3(x + 4)

1 answer:

8 0

4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
 +3x +3x 
2 + 2x < -12
-2 -2
 2x < -14
 ÷2 ÷2 
x < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.

You might be interested in

What is the domain of thf(x)<0 over and what other interval ?

Hatshy [7]

Answer:

F(x)>0 over the intervals (-infinate, -2.5) and (-0.75, 0.75)

Step-by-step explanation:

hope this helps

5 0

3 years ago

In a hospital ward, there are 10 nurses and 6 doctors. 4 of the nurses and 3 of the doctors are male. If a person is randomly se

oksano4ka [1.4K]

Total number of people in ward = 16
Number of nurses = 10
Number of male nurses = 4
Number of female nurses = 6

Number of doctors = 6
Number of male doctors = 3
Number of female doctors = 3

We are to find the probability of selecting a female or a doctor.

Probability of selecting a female or a doctor = Probability of selecting a female + probability of selecting a doctor - probability of selecting a female doctor

Probability of selecting a female or a doctor = 9/16 + 6/16 - 3/16 = 3/4

Thus, the probability of selecting a female or a doctor is 3/4

8 0

4 years ago

Read 2 more answers

A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take

DochEvi [55]

Answer:

if it can't fit more than 10, would it be 9 8 7 6 5 4 3 2 1?

Step-by-step explanation:

3 0

3 years ago

Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)

sergeinik [125]

Answer:

Step-by-step explanation:

Area of circle Formula: A = πr²

d = 2r

Simply plug in what you know:

201.0624 = 3.1416r²

64 = r²

r = 8

d = 2(8)

d = 16

8 0

3 years ago

What is the value of x? 3/4x+5−1/2x=3

e-lub [12.9K]

3/4x + 5 - 1/2x = 3
3/4x - 1/2x = 3 - 5
3/4x - 2/4x = -2
1/4x = -2
x = -2 / (1/4)
x = -2 * 4/1
x = -8 <==

5 0

3 years ago