jedwards5245 jedwards5245
  • 01-01-2019
  • Mathematics
contestada

the inequality 7 - 2/3x < x - 8 is equivalent to

a. x > 9

b. x > -3/5

c. x < 9

d. x < -3/5

please show work

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-01-2019

Answer:

a. x > 9

Step-by-step explanation:

7 - 2/3x < x - 8

Add 2/3 x to each side

7 - 2/3x+ 2/3 x < x+ 2/3 x - 8

7 < x + 2/3 x -8

Add 8 to each side

7+8 < x + 2/3 x -8+8

15 < x + 2/3 x

Get a common denominator for x of 3

15 < 3/3 x  + 2/3 x

15 <  5/3 x

Multiply by 3/5 to isolate x

3/5 * 15 < 5/3x * 3/5

9 < x


Answer Link

Otras preguntas

What is the domain of f(x)= 3x/x-1
There are 3 times more kittens than puppies in a box. Together there are 24 animals. How many kittens are there?
Does anyone know the answer to this? Thank you! ❤️
x = 2.5 5y + 2x = -10
what is used to explain something complicated with a simple statement
An Easier Way to Study Hard Sign up and get access to over a million step-by-step textbook solutions. Plus, our experts are waiting 24/7 to answer virtually all
a point occupies zero dimensions true or false
what madeAmerican goods cheaper than imported goods? it encouraged Americans to buy American products ​
Under the Constitution, the principle of "federalism" is the reason that power and responsibility are shared by state and national governments divided into thre
the classification levels are listed in the above chart. which statement describes the relationship amoung the organisms