Solve for w.∣5w∣>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 w.∣5w∣>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 absolute value: We are given the inequality ∣5w∣>5 and we need to solve for w. First, we divide both sides of the inequality by 5 to isolate the absolute value expression. ∣5w∣/5>5/5∣w∣>1
Identify possible values: Now we have ∣w∣>1, which means w is greater than 1 or less than −1. This can be written as two separate inequalities: w>1 or w<−1
Form compound inequality: The compound inequality that represents the solution is: w<−1 or w>1 This is the final answer.
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