Solve for w.∣−w∣<8Write 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.∣−w∣<8Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Solve First Inequality: Now, we solve each inequality separately. Starting with −w<8, we multiply both sides by −1 to solve for w. Remember that multiplying or dividing by a negative number reverses the inequality sign. So, −w<8 becomes w>−8 after multiplying by −1.
Solve Second Inequality: Next, we solve the second inequality −w>−8. Again, we multiply both sides by −1, which reverses the inequality sign, giving us w<8.
Combine Inequalities: Combining both inequalities, we get the compound inequality −8<w<8. This means that w must be greater than −8 and less than 8.
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