Solve for y.-6|y| > -6Write 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 y.−6∣y∣>−6Write 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 by −6: We have the inequality:-6|y| > -6First, we divide both sides of the inequality by −6. Remember that dividing by a negative number reverses the inequality sign.-6|y| / -6 < -6 / -6|y| < 1
Interpret absolute value: Now we interpret the absolute value inequality:|y| < 1This means that y is less than 1 and greater than −1.-1 < y < 1
Write compound inequality: We have now solved for y and written the compound inequality.The compound inequality is:-1 < y < 1
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