Question - Solving Absolute Value Inequalities
Solution:
To solve the inequality |6 - w| < 59, you will need to consider two cases due to the absolute value.Case 1: When 6 - w is positive or zero,6 - w < 59Now, solve for w:-w < 59 - 6-w < 53Multiply both sides by -1 (and remember to reverse the inequality when you multiply or divide by a negative number):w > -53Case 2: When 6 - w is negative,-(6 - w) < 59-w + 6 < 59Now, solve for w:-w < 59 - 6-w < 53Again, multiply both sides by -1 (and reverse the inequality):w > -53Since both cases lead to the same inequality, w > -53, the solution to the inequality |6 - w| < 59 is:w > -53This means that w can be any number greater than -53.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com