Solve for w.2∣w∣<2Write 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 w.2∣w∣<2Write 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 absolute value: We have the inequality:2∣w∣<2First, we need to isolate the absolute value term by dividing both sides of the inequality by 2.22∣w∣<22∣w∣<1
Interpret inequality: Now that we have ∣w∣<1, we can interpret this as w being within the range of −1 and 1, not including −1 and 1 themselves because the inequality is strict (<).This means that w must be greater than −1 and less than 1.So, the compound inequality is:w0
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