Question

Identify the line that contains the error in this solution and correct the work for that line.

Line 1: - 2 (x + 1) - 3 is greater than or equal to 11

Line 2: - 2 x + - 2 - 3 is greater than or equal to 11

Line 3: - 2x + - 5 is greater than or equal to 11

Line 4: - 2 x is less than or equal to 16

Line 5: x is less than or equal to negative 8

Answer 1

Can you use numbers and single letters for variables instead of spelling everything out?

Answer 2

I copied and pasted it that's why it did that @mathstudent55

Answer 3

im changing it right now

Answer 4

Ok. Thanks.

Answer 5

I changed it @mathstudent55

Answer 6

Ok, great. Now I can see it. It's much easier to read it this way. Also, now I see there are parentheses in the first line, which did not show before.

Answer 7

it bc it is solving it so it gets smaller and smaller

Answer 8

Line 1: \(- 2 (x + 1) - 3 \ge 11 \)

The first step is to distribute the -2 on the left side.
To do that, you multiply -2 by x and multiply -2 by 1.

You get:

Line 2: \(-2x + (- 2) - 3 \ge 11\)
This is exactly what line 2 has above, so line is correct.

Answer 9

Now let's simplify line 2 and see what we get:

\(-2x + (- 5) \ge 11\)
This is exactly what line 3 above has, so it's still correct.

Answer 10

Line 3 above is correct.

Let's now move the -5 to the right side.
Since on the left side, there is a -5 being added, which is the same as subtracting -5, we need to do the opposite, so we add 5, but we must do it to both sides of the inequality. Now we add 5 to both sides.

\(-2x + (-5) + 5 \ge 11 + 5\)

Now we combine the numbers on both sides:

\(-2x \ge 16\)

Now we notice that this line is different form line 4 above.
Here we have a greater than or equal sign, and in line 4 above there is a less than or equal sign. We did our step correctly. The error is above.

When you add or subtract a negative number from both sides of an inequality, the inequality sign DOES NOT change. We kept the greater than or equal sign as it was. Above the sign changed from >= to <=. That was an error.

Answer 11

im doing a essay question so what would I wright

Answer 12

Now we continue:

\(-2x \ge 16\)

Since x is beiong multiplied by -2, we need to divide both sides by -2 to get x alone.

Since we are dividing both sides by a negative number, the direction of the inequality sign changes now.

\( \dfrac{-2x}{-2} \le \dfrac{16}{-2} \)

Now we do the two divisions and we get the final answer:

\(x \le -8\)

Line 5 above is correct.

There were two errors made above. By coincidence, the two errors "canceled each other" and the final solution to the inequality came out correct.

Answer 13

so what would I wright

Answer 14

@mathstudent55

Answer 15

You need to write the correct version of line 4:

\(-2x \ge 16\)

That is the only line given above that is incorrect.

Answer 16

Notice the spelling of "write," "right," and "rite."

You can be "right" or wrong.
You can go "right" or left.
You can "write" and erase.
You can celebrate a "rite" of passage.
You can't be "wright," or go "wright," or "wright," or celebrate a "wright" of passage.
"Wright" is an Old English word that has a different meaning, such a playwright.