sprinkles671 sprinkles671
  • 03-09-2018
  • Mathematics
contestada

The opposite of one third of a number, x, decreased by 2 is greater than 2 and less than 8. What are the possible solutions?

Respuesta :

GoddessofDork
GoddessofDork GoddessofDork
  • 03-09-2018

So this is our inequality: [tex] 2<-\frac{1}{3}x-2<8 [/tex]

Firstly, add 2 to all sides of the inequality: [tex] 4<-\frac{1}{3}x<10 [/tex]

Next, multiply all sides of the inequality by -3, and since we are multiplying by a negative number flip the signs, and your answer will be: [tex] -12>x>-30 [/tex]

Answer Link

Otras preguntas

One reason hunters migrated further south then settling in the northmost part of America
Geometry help , only answer if your sure please. The question is in the attached
To answer this question, please refer to the comparing cultures sheet. Which place is located in North Africa? A. Egypt B. Mesopotamia C. Both D. Neither
Correct the underlined portions. (View picture)
Solve for x: four over five x + four over three = 2x
Use the diagram below to answer questions 4-5. what is the value of x?
What is the solution of the equation when solved over complex numbers? x^2+27=0
process that breaks down glucose to create two molecules of pyruvic acid (pyruvate)
What is the result of converting 8 gallons to quarts? Remember, there are 4 quarts in a gallon. A.16 quarts B.4 quarts C.2 quarts D.32 quarts
A coat that usually cost $120.00 is marked 1/3 off. What is the sale price of the coat