Question

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?


A. x less than or equal to
B. x greater than or equal to
C. A number line with closed circle on 6 shading to the left.
D. A number line with closed on 6 shading to the right.

Answer 1

To solve the inequality, simplify the expressions first
3(2x - 1) => 4(2x - 3) - 3

Answer 2

1st thing to do is solve the inequality and see what you have as a solution

Answer 3

Distribute 3 to 2x - 1.
On the right side of the inequality, distribute 4 to 2x - 3.

Answer 4

Can I do distributed property first?

Answer 5

6x-1=>8x-12-12?

Answer 6

Do like terms now ?

Answer 7

Simplify the right side of the inequality further!

Answer 8

6x-1=>8x?

Answer 9

Also, on the right side, it's -12 - 3.

Answer 10

I canceled 12 out

Answer 11

So that turns into 8x - 15.

Answer 12

So 6x-1=>8x-15? Now combine like terms right?

Answer 13

It's also 6x-3. -1 * 3 = 3.

The equation now looks like
6x - 3 => 8x - 15

Now, solve the inequality by isolating x.
Hint! Subtract 6x from both sides of the equation.

Answer 14

2x-3=>-15

add 3 to both sides right? and I would get -12?

Answer 15

Okay so the equation is −3≥8x−15−6x.
It simplifies into −3≥2x−15.
Now, add 15 to both sides to get 2x by itself.

Answer 16

\[2x \ge 12 \]

Answer 17

Thanks you I got \[x \le 6\]

Answer 18

Yep that's correct