Question

Which of the following is not a way to represent the solution of the inequality 2(x - 1) greater than or equal to -12?

x greater than or equal to -5

x less than or greater to -5

-5 less than or greater to x

A number line with a closed circle on negative 5 and shading to the right
@jziggy

Answer 1

2(x-1) >= -12
x - 1 >= -6
x >= -5

Answer 2

So.... 1. is obviously a way to represent it.

Since 2 is the opposite of that, it's obviously not true.

3. doesn't seem to mean anything..... not sure how a number can be less than and greater than a variable.... do you mean -5 is less than *or equal to* x

Finally 4 is also a way to represent it as long as the circle is shaded to include the equal to part.

Answer 3

Thank you! Can you help with more?

Answer 4

Sure

Answer 5

The table shows the solution to the equation |2x - 5| - 2 = 3:

Step 1 |2x - 5| = 3 + 2
Step 2 |2x - 5| = 5
Step 3 2x - 5 = 5 or 2x - 5 = -5
Step 4 2x = 10 or 2x = 0
Step 5 x = 5 or x = 0


Which is the first incorrect step?

Step 3

Step 4

Step 5

Solution is correct

Answer 6

Well, first check if the solution is correct. try plugging in the answers in step 5 to the original equation.

Answer 7

I'm really not good at solving this kind of stuff. I'm just really trying to finish these tests fast. :/

Answer 8

|2x-5| = 5
Solution 1: |2(5) - 5| = 5
Solution 2: |2(0) - 5| = 5
Now just simplify to see if it works.

Answer 9

How would I simplify that? :/

Answer 10

Well, start by multiplying the 2 with the number in the parentheses.

Answer 11

2*(5) = 10 - 5 | = 5?

Answer 12

yeah, so solution 1 is correct now let's check solution 2.

Answer 13

|2(0)-5| = 5

Answer 14

Solution 2 isn't correct, so the answer is B?

Answer 15

No wait sorry

Answer 16

Was looking at a different problem aha,

Answer 17

| is an absolute value bar so when you remove them the output is always positive.

Answer 18

|0-5| = 5
|-5| = 5
5 = 5

Answer 19

Since both of those were true, the solution is correct.

Answer 20

Oh! Okay thank you.

Answer 21

Sorry, I have to get some food now, good luck with the rest :)