Solve for u.5∣u∣<5Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Q. Solve for u.5∣u∣<5Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Isolate ∣u∣: We have the inequality:5∣u∣<5First, we need to isolate ∣u∣. To do this, we divide both sides of the inequality by 5.55∣u∣<55∣u∣<1
Interpret absolute value inequality: Now that we have ∣u∣<1, we need to interpret this absolute value inequality. The absolute value of a number is less than 1 if the number itself is between −1 and 1. So, ∣u∣<1 is equivalent to −1<u<1.
Write compound inequality: We have now solved for u and written the solution as a compound inequality. The compound inequality is −1<u<1.
More problems from Solve absolute value inequalities