Solve for v.−5∣v∣>−10Write 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 v.−5∣v∣>−10Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Divide and Reverse Inequality: We have the inequality: −5∣v∣>−10First, we divide both sides by −5 to isolate ∣v∣. Remember that dividing by a negative number reverses the inequality sign.−5∣v∣/−5<−10/−5∣v∣<2
Interpret Absolute Value Inequality: Now we interpret the absolute value inequality ∣v∣<2. This means that v is less than 2 units away from 0 on the number line, so v can be between −2 and 2, but not including −2 and 2 because the inequality is strict (not ≤ or v0). v1
Write Compound Inequality: We have now solved for v and can write the compound inequality as: −2<v<2 This is the final answer in the form of a compound inequality.
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