Thread: Inequalities HELP!!

Need Help!!! This is not for a graded quiz. Im trying to tutor my son but Im no math wiz myself and need to figure out the correct answers so that I know when I try to help him!!!

Question 1
Which of the following is equivalent to |4x + 5| = 88?
-4x + 5 = 88
4x + 5 = -88
4x + 5 = 88
4x + 5 = 88 or 4x + 5 = -88



Question 2
Solve |6x – 5| = 25.
{5, -5}
{5, -10/3}
{-25, 25}
{10/3, -5}



Question 3
Which statement has the solution shown on the number line?

|x + 1| = 4
|x – 1| = 4
|x| = 3
none of the above



Question 4
Which statement is equivalent to |3x + 7| ≤ 30?
3x + 7 ≤ 30 or 3x + 7 ≥ -30
-30 ≤ 3x + 7 ≤ 30
3x + 7 ≤ 30
3x = 7 ≤ -30



Question 5
Solve |x+5| < 9.
{x| x < 4 or x > -14}
{x| x < 4 or x > -4}
{x| -14 < x < 4}
{x| -4 < x < 4}



Question 6
Which inequality has the solution shown on the number line?

|4 – x| ≤1
|x – 4| ≤ 1
|x + 2| ≥ 5
|x + 2| ≥ 7




Question 7
Which statement is equivalent to |x + 9| > 15?
x + 9 > 15
x + 9 < -15
x + 9 > 15 or x + 9 < -15
-15 < x + 9 < 15



Question 8
Solve |6x + 8| > 4.
{x| -4 < x < 4}
{x| -2 < x < -2/3}
{x| x > -2 or x < -2/3}
{x| x > -2/3 or x < -2}



Question 9
Which of the following has the solution shown on the number line?

|x + 3| ≤ 2
|x – 3| ≤ 2
|x + 3| ≥ 2
|x – 3| ≥ 2



Question 10
What is the solution of |x + 3| > -2?
x > 1 or x < -5
-5 < x < 1
all real numbers
no solution

Originally Posted by zales127

Need Help!!! This is not for a graded quiz. Im trying to tutor my son but Im no math wiz myself and need to figure out the correct answers so that I know when I try to help him!!!

Question 1
Which of the following is equivalent to |4x + 5| = 88?
-4x + 5 = 88
4x + 5 = -88
4x + 5 = 88
4x + 5 = 88 or 4x + 5 = -88



Question 2
Solve |6x – 5| = 25.
{5, -5}
{5, -10/3}
{-25, 25}
{10/3, -5}



Question 3
Which statement has the solution shown on the number line?

|x + 1| = 4
|x – 1| = 4
|x| = 3
none of the above



Question 4
Which statement is equivalent to |3x + 7| ≤ 30?
3x + 7 ≤ 30 or 3x + 7 ≥ -30
-30 ≤ 3x + 7 ≤ 30
3x + 7 ≤ 30
3x = 7 ≤ -30



Question 5
Solve |x+5| < 9.
{x| x < 4 or x > -14}
{x| x < 4 or x > -4}
{x| -14 < x < 4}
{x| -4 < x < 4}



Question 6
Which inequality has the solution shown on the number line?

|4 – x| ≤1
|x – 4| ≤ 1
|x + 2| ≥ 5
|x + 2| ≥ 7




Question 7
Which statement is equivalent to |x + 9| > 15?
x + 9 > 15
x + 9 < -15
x + 9 > 15 or x + 9 < -15
-15 < x + 9 < 15



Question 8
Solve |6x + 8| > 4.
{x| -4 < x < 4}
{x| -2 < x < -2/3}
{x| x > -2 or x < -2/3}
{x| x > -2/3 or x < -2}



Question 9
Which of the following has the solution shown on the number line?

|x + 3| ≤ 2
|x – 3| ≤ 2
|x + 3| ≥ 2
|x – 3| ≥ 2



Question 10
What is the solution of |x + 3| > -2?
x > 1 or x < -5
-5 < x < 1
all real numbers
no solution

Do not post a whole wish list of problems.
Usually no more than max of three.
Also include some of your own effort.
This is not a free homework service. It is a help service.

Thats the problem..Id LOVE to give some effort..If I even knew where to begin I wouldnt be here.

Originally Posted by zales127

Thats the problem..Id LOVE to give some effort..If I even knew where to begin I wouldnt be here.

Do you have a textbook? Do you have class notes ?
If not, why not?

My sons algebra teacher quit at the beginning of the year. He has struggled in math since he began school and unfortunately Im not much help. The school went through 11 substitutes in 1 year. The substitutes that they had bounced all over and no one really cared about the kids since it was a temporary job. 62% off the freshman class failed Algebra 1. In order to move on they have to take an online course for math that basically has a 5 minute tutorial on each subject. BUT if you dont understand the basics from subject to subject your pretty much screwed..which is where have 11 substitutes in 1 year left most of the kids!

This is against our general policy. We are not suppose to do tutorials.
Say .







EXAMPLES
means

means

means

BTW: If I were you I would file a lawsuit against the school system.

Thank you!! This helps tremendously. We are in the works of taking action against the school right now with all the other parents.

So if I have the problem |6x – 5| = 25


x=6 or 30/36...which I have a feeling is completely wrong

Originally Posted by zales127

So if I have the problem |6x – 5| = 25
x=6 or 30/36...which I have a feeling is completely wrong

so or
OR
so or

Think of the absolute value as the "size" or "distance" of a number. For example |-4| = 4, since it is four units away from 0 on the number line, and |7| = 7, since it is 7 units away from the number line.

Also, in most of your questions, you have asked "which of these solutions is shown on the number line", without posting the number line in question...

Thank you Prove It and Plato..I guess Im confused as to where - are the same. Like in this problem Which of the following is equivalent to |x - 2| = 6?
These are the options that I narrowed it down to..but I cant figure out where the - comes in.

x – 2 = 6
x – 2 = 6 or x – 2 = -6
By working the problem I think the answer is x-2=6 however it could be x-2=6 or x-2=16

Originally Posted by zales127

Thank you Prove It and Plato..I guess Im confused as to where - are the same. Like in this problem Which of the following is equivalent to |x - 2| = 6?
These are the options that I narrowed it down to..but I cant figure out where the - comes in.

x – 2 = 6
x – 2 = 6 or x – 2 = -6
By working the problem I think the answer is x-2=6 however it could be x-2=6 or x-2=16

You are correct that it's both x - 2 = 6 and x - 2 = -6. That means x = 8 or x = -4.

This is easy to prove if you draw a number line and observe that 8 and -4 are both 6 units away from 2.

Ok..i think Im slowly getting it. What does it mean when there is a line under < or >?

The reason I asked the above question is because it states "Which of the following has the solution shown on the number line?

The answer that I came up with was |x + 1| ≥ 7

The reason I asked the above question is because it states "Which of the following has the solution shown on the number line?

The answer that I came up with was |x + 1| ≥ 7 (Sorry the picture in my above post was really tiny..you have to click on the image)