7 x-3(4 x-8)<6 x+12-9 x

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the variable to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the constant to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

87%

step-by-step explanation:

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