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
padilas [110]
2 years ago
11

Which of the following is the solution to the compound inequality below? 3/2x+1/5≥-1 or -1/2 x-7/3≥ 5

Mathematics
2 answers:
borishaifa [10]2 years ago
8 0

\frac{3}{2}x + \frac{1}{5} \geq -1

(10)\frac{3}{2}x +(10) \frac{1}{5} \geq -1(10)  

15x + 2 ≥ -10

<u>        -2  </u>   <u> -2  </u>

     15x ≥ -12

      \frac{15x}{15} \geq \frac{-12}{15}

         x ≥ \frac{-12}{15}

         x ≥ \frac{-4}{5}

OR

-\frac{1}{2} x - \frac{7}{3} \geq 5

-(6)\frac{1}{2} x - (6)\frac{7}{3} \geq 5(6)

-3x - 14 ≥ 30

<u>      +14</u>    <u>+14 </u>

     -3x ≥ 44

       \frac{-3x}{-3} \leq \frac{44}{-3}

       x \leq -\frac{44}{3}        

Graph:  ←--------  -\frac{44}{3}      \frac{-4}{5} ----------→

Interval Notation: (-∞, -\frac{44}{3}] U [\frac{-4}{5}, ∞)

Evgen [1.6K]2 years ago
5 0

Answer:

For given relation the possible values for x can be given by

x\leq -\frac{44}{3}     or   x> -\frac{12}{15}

Step-by-step explanation:

Given equations are

\frac{3x}{2}+\frac{1}{5}> -1 -------(A)

and -\frac{x}{2}-\frac{7}{3}\geq 5 -------(B)

First consider equation (A)

\frac{3x}{2}+\frac{1}{5}> -1 =>\frac{3x}{2}> -\frac{6}{5}

=>x> -\frac{12}{15}     -------(C)

Now consider equation (B)

-\frac{x}{2}-\frac{7}{3}\geq 5=>\frac{x}{2}\leq -\frac{22}{3}

x\leq -\frac{44}{3}    ---------(D)

Using relation (C) and (D)

x\leq -\frac{44}{3}     or   x> -\frac{12}{15}

Thus for given relation the possible values for x can be given by

x\leq -\frac{44}{3}     or   x> -\frac{12}{15}

You might be interested in
When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mus
amm1812

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.

30 of 100 students voted for cheese:

so the ratio would be 30/100 or 3/10

Now apply that to the total angle measure:

3/10*360 degrees= 108 degrees.

4 0
2 years ago
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
Ad libitum [116K]
A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
6 0
3 years ago
HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS
Talja [164]

Answer:

Do u have English version?

Step-by-step explanation:

6 0
2 years ago
1. If 6 + 3x = 27, what is 2x ?<br> A. 7<br> B. 11<br> C. 14<br> D. 18<br> E. 22
Artemon [7]

Answer:

I don't know what you mean with a b c d and e, but x=7

Step-by-step explanation:

x=7 because first you subtract 6 from each side, because you wan't to have just x, so you will get 3x=21, and then you just divide both sides by3 to get x=7

8 0
3 years ago
A medical company tested a new drug for possible side effects. The table
Lelu [443]
The correct answer is b
4 0
3 years ago
Other questions:
  • 1) I can buy 18 bananas for $4.50. If I have $20 how
    6·2 answers
  • Mario has a basket of pears. He puts an equal number of pears into 8 bowls. Each bowl has 2 pears. How many pears were in the ba
    12·2 answers
  • How do you write 2.77 × 102 in standard form?
    14·1 answer
  • In an exponential function, f(x)=b^x, b is not allowed to be 1 explain why this restriction exists?
    13·1 answer
  • Saturn is 8.867 *10g miles away from the sun. How many times farther is Uranus
    14·1 answer
  • Line AB is parallel to line CD. What is the measure of angle CFE?
    15·1 answer
  • Please help marking like brainlist
    12·2 answers
  • What is the equation of the line that has a slope of 14
    15·1 answer
  • Click on the graphic to select the figure that would make the following "a reflection in line k."
    14·1 answer
  • How do you tell if its one solution
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!