Awasome How To Solve Inequalities With Modulus Ideas

Because We Are Multiplying By A Positive Number, The Inequalities Don't Change:

Solution i’ll illustrate two different methods, both following from the definitions that we discussed previously. Example 1 solve the equation |x| > 3. This is the question * consider the highlighted question only *with its solution shown (from textbook);

Solving Modulus Inequalities Involving Functions Of On Both Sides E.g.

−12 < −2x < 6. Now divide each part by 2 (a positive number, so again the inequalities don't change): This lesson is kind of a continuation of the previous one, so make sure you go through that one first.

−6 < −X < 3.

Give your answer in set notation. Work out the ranges of x for which f(x) \geq 0 and f(x) < 0 from the graph. Now that we’ve discussed equations involving modulus, we’ll extend this knowledge to solving inequations of a similar form (i.e., linear inequations).

An Explanation On The Different Ways To Solve A Modulus Inequality (With Examples).

More than the graphical and |x| = √(x)^2 relation, i suggest to use the t. Is when the blue line is above the red line i.e. In the following videos i introduce you to solving modulus inequalities of different types.

It Follows That The Critical Values Are And , Which Will Give The Correct Solution Once We Confirm/Establish The Valid Region In The Given Inequality.

So here we do not need to do any calculations. Properties based inequalities in modulus function : My approach is as follows (alternative method), <.