Question

Solve the following inequality. 3х+5 < 6x–1

Answer 1

Answer: x > 2

Step-by-step explanation:

3x + 5 < 6x - 1

SUBTRACT 6xFROM BOTH SIDES

-3x + 5 < -1

SUBTRACT 5 FROM BOTH SIDES

-3x < -6

DIVIDE BOTH SIDES BY -3

x > 2

Answer 2

Answer:

Step-by-step explanation:

You basically want to remove either the +5 or the -1, I suggest removing -1:

To remove, add 1 to each side:

3x+5+1 < 6x-1+1

Which is,

3x+6 < 6x

Now you want to collect all like terms (get all the Xs on one side):

6 < 6x-3x

6 < 3x

Finally, you want to treat the ‘<‘ symbol as ‘=‘ :

6 = 3x

6/3 = x

x = 2

To check, you can substitute the x back in and both sides should be the same:

3(2)+5 < 6(2)-1

11 = 11