Question

PLEASE HELP !!

Which of the following is not a way to represent the solution of the inequality 3(2x - 1) greater than or equal to 4(2x - 3) - 3?

x less than or greater to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answer 1

This is very simple if you take time to think about it. You basically have two equations and in this case the left ones value must be less than the rights.

Answer 2

so im thinking it c?

Answer 3

Simply set the equations equal to each other and solve like so:
\[3(2x-1)\ge4(2x-3)-3\]

Answer 4

You can then distribute and simplify:
\[5x-3\ge(8-12)-3\]

Answer 5

And yet simplify even further to get what?

Answer 6

what do i do for x on the left side?

Answer 7

Oh shoot the 8 on the right should have a x next to it

Answer 8

So it should be:
\[5x-3\ge8x-12-3\]

Answer 9

Now combine like terms...

Answer 10

which it should come out like\[13x \ge 6\]

Answer 11

right?