Solving absolute value inequalities when there are infinite many solutions

👉 Learn how to solve multi-step 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 where there are more terms apart from the absolute value term in the same side of the inequality sign as the absolute value term, we first isolate the absolute value term. i.e. make the absolute value term the subject of the formula.

After isolating the absolute value term, we then 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 which 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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[sydneynimsakont]

when it’s 1 am and you gotta quiz tomorrow....

[TheOnlyDurfa]

Yoooo this is the exact question I need help solving! Thanks!

[finaugafinauga]

The solution of the inequality is not OR because your 1st inequality is a less than. It should have been an AND supposedly. Hopefully you are not confusing others

[keylacruz]

How did you know it was all solutions??

[finaugafinauga]

Your answer with "all solutions" is incorrect. It seemed like you are either unprepared or just lack...According to the solutions of your problem, the solution is all real numbers from -14 to 6 and that is an intersection.