Solve for d. −7∣d∣>−14Write 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 d. −7∣d∣>−14Write 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:−7∣d∣>−14First, we divide both sides of the inequality by −7 to isolate ∣d∣. Remember that dividing by a negative number reverses the inequality sign.−7∣d∣/−7<−14/−7∣d∣<2
Interpret Absolute Value Inequality: Now we interpret the absolute value inequality ∣d∣<2. This means that d is less than 2 units away from 0 on the number line, so d can be between −2 and 2, but not including −2 and 2 since the inequality is strict (not ≤ or d0).So, the compound inequality is:d1
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