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
kolezko [41]
3 years ago
10

Solve the inequality

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

You might be interested in
Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
1 year ago
Evaluate 82 - 2^3 x5
Anettt [7]

I think the answer is 42.

6 0
2 years ago
Read 2 more answers
What is the greatest common factor (GCF) of the numerator and denominator in the rational expression below? 6x-18/x^2-5x+6
brilliants [131]

Numerator 6x - 18 = 6(x - 3)

Denominator x^2 - 5x + 6 = (x - 3)( x - 2)

8 0
3 years ago
Read 2 more answers
What is the center of the following circle?<br> (x + 7)2 + (y - 9)2 = 16
Cerrena [4.2K]

Answer:

Step-by-step explanation:

hello :

the center is : (-7 , 9)

6 0
3 years ago
In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Aft
timurjin [86]

Grace weighed 167 pounds before she started her exercise program.

Step-by-step explanation:

Given,

Weight lost by Grace = 45 pounds

Weight of Grace after exercise weeks = 122 pounds

Let,

x represents the weight of Grace before she started the exercise program.

Loss means subtraction, therefore,

We will subtract the lost weight from original weight.

Original weight - Weight lost = Weight after exercise weeks

x-45=122

Adding 45 on both sides

x-45+45=122+45\\x=167\ pounds

Grace weighed 167 pounds before she started her exercise program.

Keywords: equation, addition

Learn more about addition at:

  • brainly.com/question/10990024
  • brainly.com/question/11007572

#LearnwithBrainly

5 0
3 years ago
Other questions:
  • Which symbol correctly compares 8/15 and 5/8? &gt;,=,&lt;
    13·1 answer
  • What is the length of EF?
    14·2 answers
  • How do you find the area
    7·1 answer
  • -1/12d=-3<br> what is the answer to the equation --&gt; (d)
    12·1 answer
  • Simplify the expression. 5/8*(18*3+(-22))+(-45)
    9·1 answer
  • What is the slope intercept form of the line 7x-3y=18
    13·1 answer
  • The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a 95 . Chris scored high
    6·1 answer
  • What is the slope of the line?
    8·1 answer
  • 5, 10, 12, 4, 6, 11, 13, 5 calculate the median​
    7·1 answer
  • _____ cups rice is equivalent to 1 pound
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!