Solving and graphing a absolute value inequality with infinite many solutions

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems: the positive case and the positive case. For the negative case, we flip the inequality sign. This results in a compound inequality that we then solve accordingly and graph our solution on a number line.

Organized Videos:
✅Solve Absolute Value Inequalities
✅Solve Absolute Value Inequalities | Easy
✅Solve Absolute Value Inequalities | Medium
✅Solve Absolute Value Inequalities | Hard

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[katynix]

wow! Thank you so much for this helpful video. Makes complete sense now.

[khuramobaid]

You just invested in the future of humanity !!

[lorenzothepasta]

I have one question. How can an absolute value inequality EQUAL a negative number? It can only be greater than a negative number, or else the statement is false I thought?

[rishavmitra]

Sir you have done a mistake..
If there is an inequality
|x| greater than -4
It means x greater than 4 and x lesser than -4

[raminrasouli]

Actually you don't need to solve this inequality absolute value of anything is by default always greater or equal to zero and hence greater than minus nine. So the answer is all the real numbers.

[BeetleCrusher]

you are awesome and im glad you post things like this on youtube you are a god x3

[bernardodocruzeiro]

i don't understand... shouldn't this give no solution since there's a minus sign next to nine? How can the distance be negative? and how is it possible for the absolute value of the function in terms of x (2x + 1) to output anything negative so that it satisfies the condition of being equal to MINUS 9 or to be any negative number greater than it?

[laicelydepina]

Hold on, doesn't when an absolute value is equal to a negative value like this example there is no solution to the

[samanthalicon]

Why you did the negative why didn’t you flip the sign am I supposed to?

[markbargout]

If I had a compound inequality with solutions x<1 OR x<2, what would the final solution be?

[vedaantmodi]

you are wrong only values for x rang from -5 and 4